Modification of Laplace Adomian Decomposition Method for Solving Nonlinear Volterra Integral and Integro-differential Equations based on Newton Raphson Formula

Authors

  • Dimple Rani Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India.
  • Vinod Mishra Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India.

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i1.2645

Keywords:

Numerical Laplace Transform Method, Volterra Integral Equations(VIEs), Volterra Integro-differential Equations(VIDEs), Adomian Decomposition Method(ADM), Newton Raphson formula.

Abstract

In this paper, we establish a modified Laplace decomposition method for nonlinear volterra integral and integro-differential equations. This technique differs from the general Laplace decomposition method because of the terms involved in Adomian polynomial.We have used Newton Raphson formula in place of the ui in Adomian polynomial. The proposed scheme is investigated with some illustrative examples and has given reliable results.

Author Biographies

  • Dimple Rani, Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India.

    Department of Mathematics,

    Ph.D Research Schloar

  • Vinod Mishra, Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India.

    Department of Mathematics,

    Professor

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Published

2018-01-30

Issue

Vol. 11 No. 1: (January 2018)

Section

Approximation Theory

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How to Cite

Modification of Laplace Adomian Decomposition Method for Solving Nonlinear Volterra Integral and Integro-differential Equations based on Newton Raphson Formula. (2018). European Journal of Pure and Applied Mathematics, 11(1), 202-214. https://doi.org/10.29020/nybg.ejpam.v11i1.2645