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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Veröffentlicht in:Academic Science Journal Jg. 2; H. 3; S. 273 - 289
Hauptverfasser: Leqaa Qasim Mohammed, Fatima M. Aboud
Format: Journal Article
Sprache:Englisch
Veröffentlicht: College of science, university of Diyala 01.07.2024
ISSN:2958-4612, 2959-5568
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Zusammenfassung: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.
ISSN:2958-4612
2959-5568
DOI:10.24237/ASJ.02.03.772B