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Dalal, A.M., Amani, Z.B. and Badreeh, M.G. (2014) Numerical Solution of Volterra Integral Equation of Second Kind Using Implicit Trapezoidal. Journal of Advances in Mathematics, 8, 1540-1553.

has been cited by the following article:

• TITLE: The Adomian Decomposition Method for Solving Nonlinear Partial Differential Equation Using Maple

  AUTHORS: Dalal Adnan Maturi, Honaida Mohammed Malaikah

  KEYWORDS: Nonlinear Partial Differential Equation, Adomian Decomposition Method, Maple18

  JOURNAL NAME: Advances in Pure Mathematics, Vol.11 No.6, June 28, 2021

  ABSTRACT: The nonlinear partial differential equation is solved using the Adomian decomposition method (ADM) in this article. A number of examples have been provided to illustrate the numerical results, which is the comparison of the exact and numerical solutions, and it has been discovered through the tables that the amount of error between the exact and numerical solutions is very small and almost non-existent, and the graph also shows how the exact solution of absolutely applies to the numerical solution. This demonstrates the precision of the Adomian decomposition method (ADM) for solving the nonlinear partial differential equation with Maple18. And that in terms of obtaining numerical results, this approach is characterized by ease, speed, and high accuracy.