Polynomial approximation of an inverse Cauchy problem for Helmholtz type equations

• Published in: Advanced mathematical models & applications Vol. 7; no. 3; pp. 306 - 322
• Main Authors: Aboud, Fatima, Jameel, Ibtihal Th, Hasan, Athraa F., Mostafa, Baydaa Kh, Nachaoui, Abdeljalil
• Format: Journal Article
• Language: English
• Published: Jomard Publishing 16.12.2022
• Subjects: Mathematics; Numerical Analysis; Helmholtz equation; Helmholtz equation inverse Cauchy Problem meshless method CG CGLS AMS Subject Classification: 65N21 41A10 65F22 65N35; Inverse Cauchy Problem; CG; CGLS; Meshless method

The objective of this paper is to solve numerically a Cauchy problem defined on a two-dimensional domain occupied by a material satisfying the Helmholtz type equations and verifying additional Cauchy-type boundary conditions on the accessible part of the boundary. A meshless numerical method using a...