A novel numerical approach and its convergence for numerical solution of nonlinear doubly singular boundary value problems. - Pradip Roul; Ujwal Warbhe (J. Comput. Appl. Math., 2016)

A new numerical approach for solving a class of singular two-point boundary value problems. - Pradip Roul; Dipak Biswal (Numer. Algorithms, 2017)

A new high-order numerical method for solving singular two-point boundary value problems. - Pradip Roul; Kiran Thula (J. Comput. Appl. Math., 2018)

Erratum to: B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems. - V. M. K. Prasad Goura; Pradip Roul (Appl. Math. Comput., 2019)

B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems. - Pradip Roul; V. M. K. Prasad Goura (Appl. Math. Comput., 2019)

A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions. - Pradip Roul; V. M. K. Prasad Goura; Ravi P. Agarwal (Appl. Math. Comput., 2019)

A new approximate method and its convergence for a strongly nonlinear problem governing electrohydrodynamic flow of a fluid in a circular cylindrical conduit. - Pradip Roul; Harshita Madduri (Appl. Math. Comput., 2019)

A sixth-order numerical method for a strongly nonlinear singular boundary value problem governing electrohydrodynamic flow in a circular cylindrical conduit. - Pradip Roul; Harshita Madduri; Klaus Kassner (Appl. Math. Comput., 2019)

A fast and accurate computational technique for efficient numerical solution of nonlinear singular boundary value problems. - Pradip Roul (Int. J. Comput. Math., 2019)

A fourth-order B-spline collocation method and its error analysis for Bratu-type and Lane-Emden problems. - Pradip Roul; Kiran Thula (Int. J. Comput. Math., 2019)

A fast-converging recursive approach for Lane-Emden type initial value problems arising in astrophysics. - Pradip Roul; Harshita Madduri; Ravi P. Agarwal (J. Comput. Appl. Math., 2019)

A new iterative algorithm for a strongly nonlinear singular boundary value problem. - Pradip Roul; Harshita Madduri; Klaus Kassner (J. Comput. Appl. Math., 2019)

A high order numerical method and its convergence for time-fractional fourth order partial differential equations. - Pradip Roul; V. M. K. Prasad Goura (Appl. Math. Comput., 2020)

Numerical solution of doubly singular boundary value problems by finite difference method. - Pradip Roul; V. M. K. Prasad Goura (Comput. Appl. Math., 2020)

A fourth order numerical method based on B-spline functions for pricing Asian options. - Pradip Roul (Comput. Math. Appl., 2020)

A new higher order compact finite difference method for generalised Black-Scholes partial differential equation: European call option. - Pradip Roul; V. M. K. Prasad Goura (J. Comput. Appl. Math., 2020)

A sixth order numerical method and its convergence for generalized Black-Scholes PDE. - Pradip Roul; V. M. K. Prasad Goura (J. Comput. Appl. Math., 2020)

Spectral semi-discretization algorithm for a class of nonlinear parabolic PDEs with applications. - Mohammad Izadi; Pradip Roul (Appl. Math. Comput., 2022)

A superconvergent B-spline technique for second order nonlinear boundary value problems. - Pradip Roul; V. M. K. Prasad Goura (Appl. Math. Comput., 2022)

A high-order numerical scheme based on graded mesh and its analysis for the two-dimensional time-fractional convection-diffusion equation. - Pradip Roul; Vikas Rohil (Comput. Math. Appl., 2022)

A robust adaptive moving mesh technique for a time-fractional reaction-diffusion model. - Pradip Roul (Commun. Nonlinear Sci. Numer. Simul., 2022)

A fourth-order numerical method for solving a class of derivative-dependent nonlinear singular boundary value problems. - Pradip Roul; V. M. K. Prasad Goura; Ravi P. Agarwal (Int. J. Comput. Math., 2022)

A robust numerical technique and its analysis for computing the price of an Asian option. - Pradip Roul (J. Comput. Appl. Math., 2022)

An efficient numerical method based on redefined cubic B-spline basis functions for pricing Asian options. - Pradip Roul; V. M. K. Prasad Goura (J. Comput. Appl. Math., 2022)

A high order numerical technique and its analysis for nonlinear generalized Fisher's equation. - Pradip Roul; Vikas Rohil (J. Comput. Appl. Math., 2022)

An effective approach based on Smooth Composite Chebyshev Finite Difference Method and its applications to Bratu-type and higher order Lane-Emden problems. - Soner Aydinlik; Ahmet Kiris; Pradip Roul (Math. Comput. Simul., 2022)

A novel high-order numerical scheme and its analysis for the two-dimensional time-fractional reaction-subdiffusion equation. - Pradip Roul; Vikas Rohil (Numer. Algorithms, 2022)

A new approach based on shifted Vieta-Fibonacci-quasilinearization technique and its convergence analysis for nonlinear third-order Emden-Fowler equation with multi-singularity. - Mohammad Izadi; Pradip Roul (Commun. Nonlinear Sci. Numer. Simul., 2023)

An efficient numerical scheme and its stability analysis for a time-fractional reaction diffusion model. - Pradip Roul; V. M. K. Prasad Goura (J. Comput. Appl. Math., 2023)

A novel approach based on mixed exponential compact finite difference and OHA methods for solving a class of nonlinear singular boundary value problems. - Pradip Roul; Trishna Kumari (Int. J. Comput. Math., 2023)

An efficient computational technique for solving a time-fractional reaction-subdiffusion model in 2D space. - Trishna Kumari; Pradip Roul (Comput. Math. Appl., 2024)

Efficient numerical algorithms for solving a time-fractional diffusion equation with weakly singular solution. - Pradip Roul (J. Comput. Appl. Math., 2024)

An effective numerical algorithm for coupled systems of Emden-Fowler equations via shifted airfoil functions of the first kind. - Mohammad Izadi; Pradip Roul (Math. Model. Anal., 2024)

Design of a novel computational procedure for solving electrohydrodynamic flow equation. - Pradip Roul; Trishna Kumari (Soft Comput., 2024)

A high-accuracy computational technique based on L2-1σ and B-spline schemes for solving the nonlinear time-fractional Burgers' equation. - Pradip Roul; Vikas Rohil (Soft Comput., 2024)

An accurate numerical method and its analysis for time-fractional Fisher's equation. - Pradip Roul; Vikas Rohil (Soft Comput., 2024)

High-order numerical schemes based on B-spline for solving a time-fractional Fokker-Planck equation. - Pradip Roul; Trishna Kumari (J. Comput. Appl. Math., 2025)

A high-order numerical scheme and its analysis for Caputo temporal-fractional Black-Scholes model: European double barrier knock-out option. - Pradip Roul (Numer. Algorithms, 2025)

High-resolution numerical method for the time-fractional fourth-order diffusion problems via improved quintic B-spline function. - Mohammad Prawesh Alam; Arshad Khan; Pradip Roul (J. Appl. Math. Comput., 2025)

Novel numerical methods based on graded, adaptive and uniform meshes for a time-fractional advection-diffusion equation subjected to weakly singular solution. - Pradip Roul; S. Sundar 001 (Numer. Algorithms, 2025)

Physics informed neural network for forward and inverse modeling of low grade brain tumors. - K. Murari; Pradip Roul; S. Sundar 001 (CoRR, 2025)

A high-order numerical scheme based on L2-1σ-ADI difference method on nonuniform meshes for a 2D variable coefficients time fractional reaction-diffusion equation. - Pradip Roul; Sameer N. Khandagale (Commun. Nonlinear Sci. Numer. Simul., 2026)