Author:
Tawfiq L. N. M.,Ibrahim Abed A. Q.
Abstract
Abstract
The aim of the article is to implement the LA Transform with HPM to solve the 4th order non-linear PDEs arising in mathematical physics and astrophysics. This method is based on a combination of LA Transformation with HPM without any discretization or restrictive assumptions. Some well-known 4th order non-linear PDEs are solved as illustrative examples to demonstrate the accuracy, efficiency and easy implementation of this technique.
Subject
General Physics and Astronomy
Reference24 articles.
1. New Approach for Solving Three Dimensional Space Partial Differential Equation;Enadi;Baghdad Science Journal,2019
2. Steady State Radial Flow in Anisotropic and Homogenous in Confined Aquifers;Tawfiq;Journal of Physics: Conference Series.,2018
3. Solution of Burger’s equation and coupled Burger’s equations by Homotopy perturbation method;Desai;International Journal of Engineering Research and Applications,2012
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Design optimal neural network based on new LM training algorithm for solving 3D - PDEs;An International Journal of Optimization and Control: Theories & Applications (IJOCTA);2024-07-19
2. Double LA-transform and their properties for solving partial differential equations;2ND INTERNATIONAL CONFERENCE OF MATHEMATICS, APPLIED SCIENCES, INFORMATION AND COMMUNICATION TECHNOLOGY;2023
3. Exact soliton solution for systems of non-linear (2+1)D-DEs;2ND INTERNATIONAL CONFERENCE OF MATHEMATICS, APPLIED SCIENCES, INFORMATION AND COMMUNICATION TECHNOLOGY;2023
4. Solitary wave solution of Zakharov-Kuznetsov equation;PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science;2022