Modified New Iterative Method for Solving Nonlinear Partial Differential Equations

Alaa K. Jabber

doi:10.24297/jam.v19i.8800

Authors

Alaa K. Jabber Department of Mathematics, College of Education, University of Al-Qadisiyah, Iraq

DOI:

https://doi.org/10.24297/jam.v19i.8800

Keywords:

Iterative Method,, partial differential equations, initial value problem, numerical solution, Laplace transform

Abstract

In this paper, the iterative method, proposed by Gejji and Jafari in 2006, has been modified for solving nonlinear initial value problems. The Laplace transform was used in this modification to eliminate the linear differential operator in the differential equation. The convergence of the solution was discussed according to the modification proposed. To illustrate this modification some examples were presented.

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