High order difference methods for system of id nonlinear parabolic partial differential equations. - Manoj Kumar Jain; R. K. Jain; R. K. Mohanty 001 (Int. J. Comput. Math., 1990)

A higher-order difference method for 3-D parabolic partial differential equations with nonlinear first derivative terms. - Manoj Kumar Jain; R. K. Jain; R. K. Mohanty 001 (Int. J. Comput. Math., 1991)

The numerical solution of the two-dimensional unsteady navier-stokes equations using fourth-order difference method. - Manoj Kumar Jain; R. K. Jain; R. K. Mohanty 001 (Int. J. Comput. Math., 1991)

High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations. - R. K. Mohanty 001; Kochurani George; M. K. Jain (Int. J. Comput. Math., 1995)

Finite difference methods of order two and four for 2-d non-linear biharmonic problems of first kind. - R. K. Mohanty 001; Manoj Kumar Jain; P. K. Pandey (Int. J. Comput. Math., 1996)

Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations. - David J. Evans 001; R. K. Mohanty 001 (Int. J. Comput. Math., 1998)

Families of accurate discretizations of order two and four for 3-D mildly nonlinear biharmonic problems of second kind. - R. K. Mohanty 001; P. K. Pandey (Int. J. Comput. Math., 1998)

New algorithms for the numerical solution of one dimensional singular biharmonic problems of second kind. - R. K. Mohanty 001; David J. Evans 001 (Int. J. Comput. Math., 1999)

Block Iterative Methods for One Dimensional Nonlinear Biharmonic Problems on a Parallel Computer. - R. K. Mohanty 001; David J. Evans 001 (Parallel Algorithms Appl., 1999)

A new finite difference discretization of order four for for two-dimensional quasi-linear elliptic boundary value problem. - R. K. Mohanty 001; Shivani Dey (Int. J. Comput. Math., 2001)

Three point discretization of order four and six for (du: dx) of the solution of non-linear singular two point boundary value problem. - R. K. Mohanty 001; David J. Evans 001; Shivani Dey (Int. J. Comput. Math., 2001)

Block iterative methods for the numerical solution of three dimensional mildly non-linear biharmonic problems of first kind. - R. K. Mohanty 001; David J. Evans 001; P. K. Pandey (Int. J. Comput. Math., 2001)

Alternating Group Explicit Method for the Numerical Solution of Non-Linear Singular Two-Point Boundary Value Problems Using a Fourth Order Finite Difference Method. - David J. Evans 001; R. K. Mohanty 001 (Int. J. Comput. Math., 2002)

An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions. - R. K. Mohanty 001; Manoj Kumar Jain; Urvashi Arora (Int. J. Comput. Math., 2002)

An accurate three spatial grid-point discretization of O(k2+h4) for the numerical solution of one-space dimensional unsteady quasi-linear biharmonic problem of second kind. - R. K. Mohanty 001 (Appl. Math. Comput., 2003)

A Fourth Order Accurate Cubic Spline Alternating Group Explicit Method for Non-Linear Singular Two Point Boundary Value Problems. - R. K. Mohanty 001; David J. Evans 001 (Int. J. Comput. Math., 2003)

The numerical solution of fourth order mildly quasi-linear parabolic initial boundary value problem of second kind. - R. K. Mohanty 001; David J. Evans 001 (Int. J. Comput. Math., 2003)

High Accuracy Difference Formulae for a Fourth Order Quasi-Linear Parabolic Initial Boundary Value Problem of First Kind. - R. K. Mohanty 001; David J. Evans 001; Dinesh Kumar (Int. J. Comput. Math., 2003)

Tage Method for Nonlinear Singular Two Point Boundary Value Problem using a Fourth Order Difference Scheme. - R. K. Mohanty 001; P. L. Sachdev; Navnit Jha (Neural Parallel Sci. Comput., 2003)

An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions. - R. K. Mohanty 001 (Appl. Math. Comput., 2004)

An O(h4) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems. - R. K. Mohanty 001; P. L. Sachdev; Navnit Jha (Appl. Math. Comput., 2004)

An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation. - R. K. Mohanty 001 (Appl. Math. Lett., 2004)

Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates. - R. K. Mohanty 001; David J. Evans 001 (Int. J. Comput. Math., 2004)

Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems. - R. K. Mohanty 001; Navnit Jha; David J. Evans 001 (Int. J. Comput. Math., 2004)

An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients. - R. K. Mohanty 001 (Appl. Math. Comput., 2005)

An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients. - R. K. Mohanty 001 (Appl. Math. Comput., 2005)

A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems. - R. K. Mohanty 001; Navnit Jha (Appl. Math. Comput., 2005)

On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity. - David J. Evans 001; R. K. Mohanty 001 (Int. J. Comput. Math., 2005)

Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an O(k2 + h4) difference method. - R. K. Mohanty 001; David J. Evans 001 (Int. J. Comput. Math., 2005)

Highly accurate two parameter CAGE parallel algorithms for non-linear singular two point boundary value problems. - R. K. Mohanty 001; David J. Evans 001 (Int. J. Comput. Math., 2005)

Convergent spline in tension methods for singularly perturbed two-point singular boundary value problems. - R. K. Mohanty 001; David J. Evans 001; Urvashi Arora (Int. J. Comput. Math., 2005)

An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems. - R. K. Mohanty 001; David J. Evans 001; Noopur Khosla (Int. J. Comput. Math., 2005)

A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems. - R. K. Mohanty 001; Noopur Khosla (Int. J. Comput. Math., 2005)

Non-uniform Mesh Arithmetic Average Discretization for Parabolic Initial Boundary Value Problems. - R. K. Mohanty 001; Swarn Singh (Neural Parallel Sci. Comput., 2005)

A new stable variable mesh method for 1-D non-linear parabolic partial differential equations. - Urvashi Arora; Samir Karaa; R. K. Mohanty 001 (Appl. Math. Comput., 2006)

A class of non-uniform mesh three point arithmetic average discretization for y"=f(x, y, y') and the estimates of y'. - R. K. Mohanty 001 (Appl. Math. Comput., 2006)

A family of non-uniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives. - R. K. Mohanty 001; Urvashi Arora (Appl. Math. Comput., 2006)

A TAGE iterative method for the solution of non-linear singular two point boundary value problems using a sixth order discretization. - R. K. Mohanty 001; Urvashi Arora (Appl. Math. Comput., 2006)

Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point non-linear boundary value problems. - R. K. Mohanty 001; Noopur Khosla (Appl. Math. Comput., 2006)

A new fourth order discretization for singularly perturbed two dimensional non-linear elliptic boundary value problems. - R. K. Mohanty 001; Swarn Singh (Appl. Math. Comput., 2006)

A sixth order accurate AGE iterative method for non-linear singular two point boundary value problems. - Ranjan Kumar Mohanty; David J. Evans 001; Navnit Jha (J. Comput. Methods Sci. Eng., 2006)

An implicit high accuracy variable mesh scheme for 1-D non-linear singular parabolic partial differential equations. - R. K. Mohanty 001 (Appl. Math. Comput., 2007)

The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations. - R. K. Mohanty 001 (Appl. Math. Comput., 2007)

Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms. - R. K. Mohanty 001 (Appl. Math. Comput., 2007)

Three-step BLAGE iterative method for two-dimensional elliptic boundary value problems with singularity. - R. K. Mohanty 001 (Int. J. Comput. Math., 2007)

An order h4 numerical technique for solving biharmonic equation. - P. K. Pandey; R. K. Mohanty 001 (Neural Parallel Sci. Comput., 2007)

A new coupled approach high accuracy numerical method for the solution of 3D non-linear biharmonic equations. - Dinesh Khattar; Swarn Singh; R. K. Mohanty 001 (Appl. Math. Comput., 2009)

A variable mesh C-SPLAGE method of accuracy O(k2hl-1 + khl + hl3) for 1D nonlinear parabolic equations. - R. K. Mohanty 001 (Appl. Math. Comput., 2009)

Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form. - R. K. Mohanty 001; Deepika Dhall (Appl. Math. Comput., 2009)

Alternating group explicit iterative method for nonlinear singular Fredholm Integro-differential boundary value problems. - Navnit Jha; R. K. Mohanty 001; Bimal Kumar Mishra (Int. J. Comput. Math., 2009)

New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations. - R. K. Mohanty 001 (Int. J. Comput. Math., 2009)

High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations. - R. K. Mohanty 001; Manoj Kumar Jain (Int. J. Comput. Math., 2009)

On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations. - Ranjan Kumar Mohanty (Numer. Algorithms, 2010)

An O(k2+kh2+h2) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations. - Ranjan Kumar Mohanty; Vijay Dahiya (Am. J. Comput. Math., 2011)

A direct higher order discretization in singular perturbations via domain split - A computational approach. - Christian Grossmann; Ranjan Kumar Mohanty; Hans-Goerg Roos (Appl. Math. Comput., 2011)

TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations. - Navnit Jha; R. K. Mohanty 001 (Appl. Math. Comput., 2011)

High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations. - R. K. Mohanty 001; Venu Gopal (Appl. Math. Comput., 2011)

A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations. - R. K. Mohanty 001; Nikita Setia (Appl. Math. Comput., 2012)

A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order off-step discretization for the solution of two point nonlinear boundary value problems. - R. K. Mohanty 001; Jyoti Talwar (Appl. Math. Comput., 2012)

A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates. - Jyoti Talwar; R. K. Mohanty 001 (Adv. Numer. Anal., 2012)

High accuracy Arithmetic Average Type discretization for the solution of two-Space dimensional nonlinear wave equations. - R. K. Mohanty 001; Venu Gopal (Int. J. Model. Simul. Sci. Comput., 2012)

New Nonpolynomial Spline in Compression Method of O(k2+h4) for the Solution of 1D Wave Equation in Polar Coordinates. - Venu Gopal; R. K. Mohanty 001; Navnit Jha (Adv. Numer. Anal., 2013)

Geometric Mesh Three-Point Discretization for Fourth-Order Nonlinear Singular Differential Equations in Polar System. - Navnit Jha; R. K. Mohanty 001; Vinod Chauhan (Adv. Numer. Anal., 2013)

High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term. - R. K. Mohanty 001; Venu Gopal (Appl. Math. Comput., 2014)

A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations. - R. K. Mohanty 001; Ravindra Kumar (Appl. Math. Comput., 2014)

A new high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations. - R. K. Mohanty 001; Suruchi Singh; Swarn Singh (Appl. Math. Comput., 2014)

A new modified group explicit iterative method for the numerical solution of time dependent viscous Burgers' equation. - Jyoti Talwar; R. K. Mohanty 001 (Int. J. Model. Simul. Sci. Comput., 2014)

Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers' equations. - R. K. Mohanty 001; Weizhong Dai; Fei Han 004 (Appl. Math. Comput., 2015)

A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh. - Jyoti Talwar; R. K. Mohanty 001; Swarn Singh (Appl. Math. Comput., 2015)

On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh. - R. K. Mohanty 001; Sean McKee (Appl. Math. Lett., 2015)

A new high accuracy two-level implicit off-step discretization for the system of three space dimensional quasi-linear parabolic partial differential equations. - R. K. Mohanty 001; Nikita Setia (Comput. Math. Appl., 2015)

A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier-Stokes equations of motion. - R. K. Mohanty 001; Weizhong Dai; Fei Han 004 (Int. J. Comput. Math., 2015)

A Single Sweep AGE Algorithm based on Off-Step Discretization for the Solution of Viscous Burgers' Equation on a Variable Mesh. - Jyoti Talwar; Ranjan Kumar Mohanty (Math. Comput. Sci., 2015)

Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation. - R. K. Mohanty 001; Weizhong Dai; Don Liu (Numer. Algorithms, 2015)

High accuracy variable mesh method for nonlinear two-point boundary value problems in divergence form. - Manoj Kumar Jain; Sachin Sharma; R. K. Mohanty 001 (Appl. Math. Comput., 2016)

High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations. - R. K. Mohanty 001; Deepti Kaur (Appl. Math. Comput., 2016)

A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh. - Jyoti Talwar; R. K. Mohanty 001; Swarn Singh (Int. J. Comput. Math., 2016)

A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation. - R. K. Mohanty 001; Sean McKee; Deepti Kaur (Appl. Math. Comput., 2017)

High Accuracy Compact Operator Methods for Two-Dimensional Fourth Order Nonlinear Parabolic Partial Differential Equations. - Ranjan Kumar Mohanty; Deepti Kaur (Comput. Methods Appl. Math., 2017)

Numerov type variable mesh approximations for 1D unsteady quasi-linear biharmonic problem: application to Kuramoto-Sivashinsky equation. - R. K. Mohanty 001; Deepti Kaur (Numer. Algorithms, 2017)

A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations. - R. K. Mohanty 001; Deepti Kaur; Swarn Singh (Appl. Math. Comput., 2019)

Local meshless method for convection dominated steady and unsteady partial differential equations. - Vikendra Singh; Siraj-ul-Islam; R. K. Mohanty 001 (Eng. Comput., 2019)

Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: Application to good Boussinesq equation. - Deepti Kaur; R. K. Mohanty 001 (Appl. Math. Comput., 2020)

A new two-level implicit scheme based on cubic spline approximations for the 1D time-dependent quasilinear biharmonic problems. - R. K. Mohanty 001; Sachin Sharma (Eng. Comput., 2020)

On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem. - R. K. Mohanty 001; Bishnu Pada Ghosh; Sean McKee (Comput. Appl. Math., 2021)

Absolute stability of an implicit method based on third-order off-step discretization for the initial-value problem on a graded mesh. - R. K. Mohanty 001; Bishnu Pada Ghosh (Eng. Comput., 2021)

A new high-resolution two-level implicit method based on non-polynomial spline in tension approximations for time-dependent quasi-linear biharmonic equations with engineering applications. - R. K. Mohanty 001; Sachin Sharma (Eng. Comput., 2021)

A new high-accuracy method based on off-step cubic polynomial approximations for the solution of coupled Burgers' equations and Burgers-Huxley equation. - R. K. Mohanty 001; Sachin Sharma (Eng. Comput., 2021)

High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain. - Ishaani Priyadarshini; R. K. Mohanty 001 (Soft Comput., 2021)

A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions. - Nikita Setia; R. K. Mohanty 001 (Soft Comput., 2021)

High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation. - R. K. Mohanty 001; Bishnu Pada Ghosh; Urvashi Arora (Comput. Math. Appl., 2022)

A high accuracy variable mesh numerical approximation for two point nonlinear BVPs with mixed boundary conditions. - Nikita Setia; R. K. Mohanty 001 (Soft Comput., 2022)

A high-resolution bi-parametric unconditionally stable ADI method for 2D uniform transmission line equation. - R. K. Mohanty 001; Bishnu Pada Ghosh (Comput. Appl. Math., 2022)

High-precision numerical method for 1D quasilinear hyperbolic equations on a time-graded mesh: application to Telegraph model equation. - R. K. Mohanty 001; Bishnu Pada Ghosh; Gunjan Khurana (Soft Comput., 2023)

Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: Application to bi- and tri-harmonic boundary value problems. - R. K. Mohanty 001; Niranjan (Comput. Math. Appl., 2023)

High-order half-step compact numerical approximation for fourth-order parabolic PDEs. - Deepti Kaur; R. K. Mohanty 001 (Numer. Algorithms, 2024)