Resolving an Inverse Cauchy Problem of Mixed Boundary Value of Bi-harmonic using a meshless collocation method

In this paper, a meshless collocation method using a polynomial expansion is proposed to solve a mixed fourth order differential boundary value problem. By employing the CGLS and PCG algorithms to solve some examples with different exact solutions, and by introducing noise for the input boundary dat...

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Published in:Academic Science Journal Vol. 2; no. 3; pp. 273 - 289
Main Authors: Leqaa Qasim Mohammed, Fatima M. Aboud
Format: Journal Article
Language:English
Published: College of science, university of Diyala 01.07.2024
ISSN:2958-4612, 2959-5568
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Abstract In this paper, a meshless collocation method using a polynomial expansion is proposed to solve a mixed fourth order differential boundary value problem. By employing the CGLS and PCG algorithms to solve some examples with different exact solutions, and by introducing noise for the input boundary data, the numerical stability of the suggested approaches is demonstrated.
AbstractList In this paper, a meshless collocation method using a polynomial expansion is proposed to solve a mixed fourth order differential boundary value problem. By employing the CGLS and PCG algorithms to solve some examples with different exact solutions, and by introducing noise for the input boundary data, the numerical stability of the suggested approaches is demonstrated.
Author Fatima M. Aboud
Leqaa Qasim Mohammed
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Snippet In this paper, a meshless collocation method using a polynomial expansion is proposed to solve a mixed fourth order differential boundary value problem. By...
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Title Resolving an Inverse Cauchy Problem of Mixed Boundary Value of Bi-harmonic using a meshless collocation method
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