Solving Bi-harmonic Cauchy problem using a meshless collocation method

In this article a fourth order differential boundary value problem is solved using a mesh less collocation method. The efficiency of the proposed methods is illustrated by solving problems with some examples of a polynomial and Non polynomial exact solutions and by using Conjugate gradient method a...

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Bibliographic Details
Main Authors: Baydaa Khaleel Mostafa, Duaa Jasim, Athraa Falih Hasan, Ibtihal Thabit Jameel, Fatima M. ABOUD
Format: Article
Language:English
Published: College of science, university of Diyala 2024-01-01
Series:Academic Science Journal
Online Access:https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/315
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Summary:In this article a fourth order differential boundary value problem is solved using a mesh less collocation method. The efficiency of the proposed methods is illustrated by solving problems with some examples of a polynomial and Non polynomial exact solutions and by using Conjugate gradient method and Conjugate gradient Least square algorithms and the numerical stability is verified by using a noise for the input boundary data.
ISSN:2958-4612
2959-5568