Open AccessEfficient Method for Solving Fourth Order PDEs
Author(s) -
L. N. M. Tawfiq,
A. Q. Ibrahim Abed
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1818/1/012166
Subject(s) - discretization , transformation (genetics) , mathematics , order (exchange) , computer science , mathematical optimization , linear map , algorithm , calculus (dental) , mathematical analysis , pure mathematics , medicine , biochemistry , chemistry , dentistry , finance , economics , gene
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.