A new family of Secant-like method with super-linear convergence. - Vinay Kanwar; Janak Raj Sharma; Mamta (Appl. Math. Comput., 2005)

On some third-order iterative methods for solving nonlinear equations. - Mamta; Vinay Kanwar; Vijay Kumar Kukreja; Sukhjit Singh (Appl. Math. Comput., 2005)

On a class of quadratically convergent iteration formulae. - Mamta; Vinay Kanwar; Vijay Kumar Kukreja; Sukhjit Singh (Appl. Math. Comput., 2005)

Multipoint iterative method with cubic convergence. - K. C. Gupta; Vinay Kanwar (Appl. Math. Comput., 2006)

A family of third-order multipoint methods for solving nonlinear equations. - Vinay Kanwar (Appl. Math. Comput., 2006)

On method of osculating circle for solving nonlinear equations. - Vinay Kanwar; Sukhjit Singh; Rangan K. Guha; Mamta (Appl. Math. Comput., 2006)

Modified families of Newton, Halley and Chebyshev methods. - Vinay Kanwar; Sushil Kumar Tomar (Appl. Math. Comput., 2007)

Modified families of multi-point iterative methods for solving nonlinear equations. - Vinay Kanwar; Sushil Kumar Tomar (Numer. Algorithms, 2007)

Simple geometric constructions of quadratically and cubically convergent iterative functions to solve nonlinear equations. - Vinay Kanwar; Sukhjit Singh; Sanjeev Bakshi (Numer. Algorithms, 2008)

Exponentially fitted variants of Newton's method with quadratic and cubic convergence. - Vinay Kanwar; Sushil Kumar Tomar (Int. J. Comput. Math., 2009)

New Variants of Newton's Method for Nonlinear Unconstrained Optimization Problems. - Vinay Kanwar; Kapil K. Sharma; Ramandeep Behl (Intell. Inf. Manag., 2010)

Simply constructed family of a Ostrowski's method with optimal order of convergence. - Vinay Kanwar; Ramandeep Behl; Kapil K. Sharma (Comput. Math. Appl., 2011)

Geometrically Constructed Families of Newton's Method for Unconstrained Optimization and Nonlinear Equations. - Sanjeev Kumar; Vinay Kanwar; Sushil Kumar Tomar; Sukhjit Singh (Int. J. Math. Math. Sci., 2011)

On some modified families of multipoint iterative methods for multiple roots of nonlinear equations. - Sanjeev Kumar; Vinay Kanwar; Sukhjit Singh (Appl. Math. Comput., 2012)

Another Simple Way of Deriving Several Iterative Functions to Solve Nonlinear Equations. - Ramandeep Behl; Vinay Kanwar; Kapil K. Sharma (J. Appl. Math., 2012)

New optimal class of higher-order methods for multiple roots, permitting f′(xn) = 0. - Vinay Kanwar; Saurabh Bhatia; Munish Kansal (Appl. Math. Comput., 2013)

Optimal equi-scaled families of Jarratt's method. - Ramandeep Behl; Vinay Kanwar; Kapil K. Sharma (Int. J. Comput. Math., 2013)

New Highly Efficient Families of Higher-Order Methods for Simple Roots, Permitting f'(xn) = 0. - Ramandeep Behl; Vinay Kanwar (Int. J. Math. Math. Sci., 2014)

An Optimal Eighth-Order Derivative-Free Family of Potra-Pták's Method. - Munish Kansal; Vinay Kanwar; Saurabh Bhatia (Algorithms, 2015)

New modifications of Hansen-Patrick's family with optimal fourth and eighth orders of convergence. - Munish Kansal; Vinay Kanwar; Saurabh Bhatia (Appl. Math. Comput., 2015)

Solving first-order initial-value problems by using an explicit non-standard A-stable one-step method in variable step-size formulation. - Higinio Ramos; Gurjinder Singh; Vinay Kanwar; Saurabh Bhatia (Appl. Math. Comput., 2015)

New two-parameter Chebyshev-Halley-like family of fourth and sixth-order methods for systems of nonlinear equations. - Mona Narang; Saurabh Bhatia; Vinay Kanwar (Appl. Math. Comput., 2016)

An efficient variable step-size rational Falkner-type method for solving the special second-order IVP. - Higinio Ramos; Gurjinder Singh; Vinay Kanwar; Saurabh Bhatia (Appl. Math. Comput., 2016)

An optimal fourth-order family of methods for multiple roots and its dynamics. - Ramandeep Behl; Alicia Cordero; Sandile Sydney Motsa; Juan R. Torregrosa; Vinay Kanwar (Numer. Algorithms, 2016)

A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence. - Alicia Cordero; Munish Kansal; Vinay Kanwar; Juan R. Torregrosa (Numer. Algorithms, 2016)

Efficient derivative-free variants of Hansen-Patrick's family with memory for solving nonlinear equations. - Munish Kansal; Vinay Kanwar; Saurabh Bhatia (Numer. Algorithms, 2016)

Higher-order derivative-free families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations. - Ioannis K. Argyros; Munish Kansal; Vinay Kanwar; Sugandha Bajaj (Appl. Math. Comput., 2017)

New efficient derivative free family of seventh-order methods for solving systems of nonlinear equations. - Mona Narang; Saurabh Bhatia; Vinay Kanwar (Numer. Algorithms, 2017)

An embedded 3(2) pair of nonlinear methods for solving first order initial-value ordinary differential systems. - Higinio Ramos; Gurjinder Singh; Vinay Kanwar; Saurabh Bhatia (Numer. Algorithms, 2017)

An efficient optimized adaptive step-size hybrid block method for integrating differential systems. - Gurjinder Singh; Arvind Garg; Vinay Kanwar; Higinio Ramos (Appl. Math. Comput., 2019)

An optimal reconstruction of Chebyshev-Halley type methods for nonlinear equations having multiple zeros. - Ali Saleh Alshomrani; Ramandeep Behl; Vinay Kanwar (J. Comput. Appl. Math., 2019)

General efficient class of Steffensen type methods with memory for solving systems of nonlinear equations. - Mona Narang; Saurabh Bhatia; Ali Saleh Alshomrani; Vinay Kanwar (J. Comput. Appl. Math., 2019)

Higher-order families of Multiple root Finding Methods Suitable for non-convergent Cases and their dynamics. - Ramandeep Behl; Vinay Kanwar; Young Ik Kim (Math. Model. Anal., 2019)

Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems. - Rajat Singla; Gurjinder Singh; Vinay Kanwar; Higinio Ramos (Comput. Appl. Math., 2021)

An optimal class of fourth-order multiple-root finders of Chebyshev-Halley type and their basins of attraction. - Raj Bala; Munish Kansal; Vinay Kanwar (Int. J. Comput. Sci. Math., 2021)

An efficient family of Steffensen-type methods with memory for solving systems of nonlinear equations. - Mona Narang; Saurabh Bhatia; Vinay Kanwar (Comput. Math. Methods, 2021)

A novel two-parameter class of optimized hybrid block methods for integrating differential systems numerically. - Gurjinder Singh; Arvind Garg; Rajat Singla; Vinay Kanwar (Comput. Math. Methods, 2021)

Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations. - Higinio Ramos; Anurag Kaur; Vinay Kanwar (Comput. Appl. Math., 2022)

A new three-step fixed point iteration scheme with strong convergence and applications. - Puneet Sharma; Higinio Ramos; Ramandeep Behl; Vinay Kanwar (J. Comput. Appl. Math., 2023)

An efficient optimized adaptive step-size hybrid block method for integrating w′′=f(t, w, w′) directly. - Rajat Singla; Gurjinder Singh; Higinio Ramos; Vinay Kanwar (J. Comput. Appl. Math., 2023)

A New Third-Order Family of Multiple Root-Findings Based on Exponential Fitted Curve. - Vinay Kanwar; Alicia Cordero; Juan R. Torregrosa; Mithil Rajput; Ramandeep Behl (Algorithms, 2023)

Development of a Higher-Order 𝒜-Stable Block Approach with Symmetric Hybrid Points and an Adaptive Step-Size Strategy for Integrating Differential Systems Efficiently. - Rajat Singla; Gurjinder Singh; Higinio Ramos; Vinay Kanwar (Symmetry, 2023)

A coupled scheme based on uniform algebraic trigonometric tension B-spline and a hybrid block method for Camassa-Holm and Degasperis-Procesi equations. - Anurag Kaur; Vinay Kanwar; Higinio Ramos (Comput. Appl. Math., 2024)

Efficient iterative procedures for approximating fixed points of contractive-type mappings with applications. - Puneet Sharma; Higinio Ramos; Vinay Kanwar; Ramandeep Behl; Mithil Rajput (Numer. Algorithms, 2025)