Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations

Author:

Eltayeb Hassan1ORCID,Elgezouli Diaa Eldin2,Kilicman Adem3ORCID,Bachar Imed1ORCID

Affiliation:

1. Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

2. Mathematics Department, Sudan University of Science and Technology, Sudan

3. Department of Mathematics, University Putra Malaysia, 43400 Serdang, Selangor, Malaysia

Abstract

In this work, the solution of the linear, nonlinear, and coupled system fractional singular two-dimensional pseudoparabolic equation is examined by using a three-dimensional Laplace Adomian decomposition method (3-DLADM). Analysis of the method is discussed, and some demonstrative examples are mentioned to confirm the power and accuracy of the recommended method, and numerical analysis is applied to sketch the exact and approximate solution.

Funder

Deanship of Scientific Research, King Saud University

Publisher

Hindawi Limited

Subject

Analysis

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