Manoj Kumar

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Methods for solving singular boundary value problems using splines: a review

Manoj Kumar, Y. Gupta, 2010 .

Numerical Solution of Lane–Emden Type Equations Using Multilayer Perceptron Neural Network Method

Manoj Kumar, Akanksha Verma, Manoj Kumar, 2019, International Journal of Applied and Computational Mathematics.

A recent survey on computational techniques for solving singularly perturbed boundary value problems

Pitam Singh, Hradyesh Kumar Mishra, Manoj Kumar, 2007 .

Wavelet Transform and Wavelet Based Numerical Methods: an Introduction

Sapna Pandit, Manoj Kumar, Manoj Kumar, 2012 .

Various Newton-type iterative methods for solving nonlinear equations☆

Manoj Kumar, A. Srivastava, Akhilesh Kumar Singh, 2013 .

Haar Wavelet Approach for Numerical Solution of Two Parameters Singularly Perturbed Boundary Value Problems

Sapna Pandit, Manoj Kumar, Manoj Kumar, 2014 .

A Review on Nonlinear Elliptic Partial Differential Equations and Approaches for Solution

Manoj Kumar, Garima Mishra, 2012 .

Numerical Simulation of Quasilinear Elliptic Singular Perturbation Using Nonvariational Finite Element Method

Manoj Kumar, Garima Mishra, 2018 .

Numerical Simulation of Two-Dimensional Pucci’s Equation with Dirichlet Boundary Conditions Using Nonvariational Finite Element Method

Manoj Kumar, Garima Mishra, 2018, Differential Equations and Dynamical Systems.

Numerical simulation of Plateau’s problem of minimal surfaces using nonvariational finite element method

Manoj Kumar, Garima Mishra, 2016 .

Numerical solution of singular boundary value problems

Manoj Kumar, 2000 .

A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems

Parul, Manoj Kumar, 2011 .

Computer simulation of third‐order nonlinear singular problems arising in draining and coating flows

Manoj Kumar, Neelima Singh, 2012 .

Simulation of a nonlinear Steklov eigenvalue problem using finite-element approximation

Manoj Kumar, Prashant Kumar, 2010 .

Multi-peak solutions of non-linear elliptic singularly perturbed reaction-diffusion equations using finite element simulation

Manoj Kumar, Akhilesh Kumar Singh, 2015 .

A Ninth-Order Convergent Method for Solving the Steady State Reaction–Diffusion Model

Manoj Kumar, T. Todorov, A. Srivastava, 2015 .

Singular Perturbation Problems in Nonlinear Elliptic Partial Differential Equations: A Survey

Manoj Kumar, Akhilesh Kumar Singh, 2014 .

A Computational Approach for Solution of Singular Boundary Value Problem with Applications in Human Physiology

Manoj Kumar, Y. Gupta, 2012 .

A composite numerical scheme for the numerical simulation of coupled Burgers' equation

Manoj Kumar, Sapna Pandit, Manoj Kumar, 2014, Comput. Phys. Commun..

An efficient algorithm based on Haar wavelets for numerical simulation of Fokker-Planck equations with constants and variable coefficients

Manoj Kumar, Sapna Pandit, 2015 .

Solution of Fourth Order Boundary Value Problems by Numerical Algorithms Based on Nonpolynomial Quintic Splines

R. Mohapatra, Manoj Kumar, P. Srivastava, 2012 .

An Elementary Introduction to Recently Developed Computational Methods for Solving Singularly Perturbed Partial Differential Equations Arising in Science and Engineering

Manoj Kumar, A. Srivastava, A. Srivastava, 2013 .

Adomian Decomposition Method for Solving Higher Order Boundary Value Problems

Manoj Kumar, Manoj Kumar, Neelima Singh, 2012 .

An Initial-Value Technique for Singularly Perturbed Boundary Value Problems via Cubic Spline

Manoj Kumar, P. Singh, H. K. Mishra, 2007 .

Existence and uniqueness results and analytical solution of the multi-dimensional Riesz space distributed-order advection–diffusion equation via two-step Adomian decomposition method

Manoj Kumar, Pratibha Verma, 2020, Engineering with Computers.

Numerical method for fractional dispersive partial differential equations

Manoj Kumar, A. Prakash, 2017 .

An Introduction to Numerical Methods for the Solutions of Partial Differential Equations

Manoj Kumar, Garima Mishra, 2011 .

Numerical solution of singular boundary value problems using advanced Adomian decomposition method

Umesh, Manoj Kumar, 2020, Engineering with Computers.

Numerical Method for Time-Fractional Gas Dynamic Equations

Amit Prakash, Manoj Kumar, Manoj Kumar, 2018, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences.

Approximate solution of singular IVPs of Lane–Emden type and error estimation via advanced Adomian decomposition method

Umesh, Manoj Kumar, 2020 .

Numerical Simulation of Van der Pol Equation Using Multiple Scales Modified Lindstedt–Poincare Method

Manoj Kumar, P. Varshney, 2020 .

Some numerical techniques for solving elliptic interface problems

Manoj Kumar, Pratibha Joshi, 2012 .

A Mathematical Model and Numerical Solution of a One Dimensional Steady State Heat Conduction Problem by Using High Order Immersed Interface Method on Non- Uniform Mesh

Manoj Kumar, Pratibha Joshi, 2012 .

A length factor artificial neural network method for the numerical solution of the advection dispersion equation characterizing the mass balance of fluid flow in a chemical reactor

Manoj Kumar, Joon-Hoon Kim, K. McFall, 2018, Neural Computing and Applications.

Buckling analysis of a beam-column using multilayer perceptron neural network technique

Manoj Kumar, Neha Yadav, Manoj Kumar, 2013, J. Frankl. Inst..

A survey on various computational techniques for nonlinear elliptic boundary value problems

Prashant Kumar, Manoj Kumar, Peetam Singh, 2008, Adv. Eng. Softw..

Modified Adomian Decomposition Method and computer implementation for solving singular boundary value problems arising in various physical problems

Manoj Kumar, Neelima Singh, Manoj Kumar, 2010, Comput. Chem. Eng..

An Analytical Solution of Linear/Nonlinear Fractional-Order Partial Differential Equations and with New Existence and Uniqueness Conditions

Manoj Kumar, Pratibha Verma, 2020, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences.

An analytical solution with existence and uniqueness conditions for fractional integro-differential equations

Pratibha Verma, Manoj Kumar, Manoj Kumar, 2020, Int. J. Model. Simul. Sci. Comput..

Fractional Variational Iteration Method for Time Fractional Fourth-Order Diffusion-Wave Equation

Manoj Kumar, A. Prakash, 2018, Mathematical Modelling, Applied Analysis and Computation.

Numerical method for solving fractional coupled Burgers equations

Manoj Kumar, Kapil K. Sharma, Amit Prakash, 2015, Appl. Math. Comput..

A collection of computational techniques for solving singular boundary-value problems

Manoj Kumar, Neelima Singh, Manoj Kumar, 2009, Adv. Eng. Softw..

Computational Techniques for Solving Differential Equations by Cubic, Quintic, and Sextic Spline

Manoj Kumar, Manoj Kumar, P. Srivastava, 2009 .

A review study on blood in human coronary artery: Numerical approach

Manoj Kumar, Mohammad Rahimi-Gorji, Rupali Pandey, 2019, Comput. Methods Programs Biomed..

An efficient algorithm based on artificial neural networks and particle swarm optimization for solution of nonlinear Troesch’s problem

Anupam Yadav, Manoj Kumar, Joong Hoon Kim, 2015, Neural Computing and Applications.

Frontiers in Fractional Calculus

Chaitanya S. Jage, Navin G. Singhaniya, P. Balasubramaniam, 2018 .

Mathematical modelling and computer simulation of steady state heat conduction in anisotropic multi-layered bodies

Manoj Kumar, Pratibha Joshi, Manoj Kumar, 2013, International Journal of Computing Science and Mathematics.

A difference scheme based on non-uniform mesh for singular two-point boundary value problems

Manoj Kumar, Manoj Kumar, 2003, Appl. Math. Comput..

A three-point finite difference method for a class of singular two-point boundary value problems

Manoj Kumar, Manoj Kumar, 2002 .

Multilayer perceptrons and radial basis function neural network methods for the solution of differential equations: A survey

Manoj Kumar, Neha Yadav, Manoj Kumar, 2011, Comput. Math. Appl..

A new family of predictor-corrector methods for solving fractional differential equations

Varsha Daftardar-Gejji, Manoj Kumar, Manoj Kumar, 2019, Appl. Math. Comput..

Mathematical model and computer simulation of three dimensional thin film elliptic interface problems

Manoj Kumar, Pratibha Joshi, Manoj Kumar, 2012, Comput. Math. Appl..

HE'S VARIATIONAL ITERATION METHOD FOR THE SOLUTION OF NONLINEAR NEWELL-WHITEHEAD-SEGEL EQUATION

Amit Prakash, Manoj Kumar, Manoj Kumar, 2016 .

Computational method for finding various solutions for a Quasilinear Elliptic Equation of Kirchhoff type

Prashant Kumar, Manoj Kumar, Manoj Kumar, 2009, Adv. Eng. Softw..

Numerical solution of Bagley–Torvik equations using Legendre artificial neural network method

Akanksha Verma, Manoj Kumar, Manoj Kumar, 2020, Evolutionary Intelligence.

Numerical solution of a singularly perturbed three-point boundary value problem

Manoj Kumar, Pitam Singh, Hradyesh Kumar Mishra, 2007, Int. J. Comput. Math..

An initial-value technique to solve third-order reaction–diffusion singularly perturbed boundary-value problems

Manoj Kumar, Surabhi Tiwari, Manoj Kumar, 2012, Int. J. Comput. Math..

Numerical treatment of singularly perturbed two point boundary value problems using initial-value method

Manoj Kumar, P. Singh, H. K. Mishra, 2009 .

Numerical simulation of second-order hyperbolic telegraph type equations with variable coefficients

Manoj Kumar, Surabhi Tiwari, Sapna Pandit, 2015, Comput. Phys. Commun..

A non-uniform mesh finite difference method and its convergence for a class of singular two-point boundary value problems

Manoj Kumar, Tariq Aziz, Manoj Kumar, 2004, Int. J. Comput. Math..

Multiple-Scales Method and Numerical Simulation of Singularly Perturbed Boundary Layer Problems

Manoj Kumar, Parul Gupta, 2016 .

Mathematical Modelling and Numerical Simulation of Child Swing Motion

Parul, Manoj Kumar, 2013 .

A boundary value approach for a class of linear singularly perturbed boundary value problems

Manoj Kumar, Hradyesh Kumar Mishra, Peetam Singh, 2009, Adv. Eng. Softw..

Methods for solving singular perturbation problems arising in science and engineering

Manoj Kumar, Parul A. Mittal, P. A. Mittal, 2011, Math. Comput. Model..

New Algorithm for Solving Non-linear Functional Equations

Manoj Kumar, Varsha Daftardar-Gejji, Aman Jhinga, 2020, International Journal of Applied and Computational Mathematics.

Numerical simulation of singularly perturbed non-linear elliptic boundary value problems using finite element method

Manoj Kumar, Akanksha Srivastava, Akhilesh Kumar Singh, 2012, Appl. Math. Comput..

Mathematical modelling and computer simulation of temperature distribution in inhomogeneous composite systems with imperfect interface

Manoj Kumar, Pratibha Joshi, 2014 .

Numerical Simulation of a Non-linear Singular Perturbed Schrödinger Equation Using Finite Element Approximation

Manoj Kumar, Garima Mishra, A. Srivastava, 2013 .

Neural network method: delay and system of delay differential equations

Shagun Panghal, Manoj Kumar, Manoj Kumar, 2021, Engineering with Computers.

Mathematical Modeling of quintic Duffing equation and numerical simulation using Multiple scales modified Lindstedt-Poincare method

Manoj Kumar, Parul A. Mittal, Manoj Kumar, 2012, Int. J. Model. Simul. Sci. Comput..

A finite element approach for finding positive solutions of a logistic equation with a sign-changing weight function

Manoj Kumar, Akanksha Srivastava, Garima Mishra, 2014, Appl. Math. Comput..

A finite element approach for finding positive solutions of semilinear elliptic Dirichlet problems

Manoj Kumar, Manoj Kumar, Prashant Kumar, 2009 .

Analysis on Krasnoselskii's fixed point theorem of fuzzy variable fractional differential equation for a novel coronavirus (COVID-19) model with singular operator

Manoj Kumar, Pratibha Verma, Anand Shukla, 2021, Int. J. Model. Simul. Sci. Comput..

Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order

Manoj Kumar, Pratibha Verma, Manoj Kumar, 2020, Chaos, Solitons & Fractals.

An analytical solution of multi-dimensional space fractional diffusion equations with variable coefficients

Manoj Kumar, Pratibha Verma, Manoj Kumar, 2020, Int. J. Model. Simul. Sci. Comput..

Approximate Analytic Solution of Burger Huxley Equation Using Feed-Forward Artificial Neural Network

Shagun Panghal, Manoj Kumar, Manoj Kumar, 2021, Neural Processing Letters.

Computational techniques for solving differential equations by quadratic, quartic and octic spline

Manoj Kumar, Pankaj Kumar Srivastava, Manoj Kumar, 2008, Adv. Eng. Softw..

Finite-element approximation for singularly perturbed nonlinear elliptic boundary-value problems

Manoj Kumar, Prashant Kumar, 2012, Computational Mathematics and Modeling.

Finite-element approximation for singularly perturbed nonlinear elliptic boundary-value problems

Manoj Kumar, Prashant Kumar, 2012 .

A Computer based Numerical Method for Singular Boundary Value Problems

Manoj Kumar, Y. Gupta, 2011 .