Radial Basis Functions for the Solution of an Inverse Problem of Mixed Parabolic-Hyperbolic Type
Keywords:
Mixed parabolic-hyperbolic problem, inverse problem, RBFs, collocation methodAbstract
In this paper, we consider an inverse problem of mixed parabolic-hyperbolic type. This in- verse problem related to finding the unknown right-hand side of the equation of mixed parabolic- hyperbolic type in a ectangular domain. We proposed a n umerical approach to solve this problem. This method is a combination of collocation method and Gaussian radial basis functions (GA-RBFs). The operational matrix of derivative for GA-RBFs is introduced. The operational matrix of derivative is utilized to reduce the problem to a set of algebraic equations. Using this method, a rapid convergent solution is produced which tends to the exact solution of the problem. The accuracy of the method is tested in term of RMS error. Some examples is included to demonstrate the validity and applicability of the technique.Â
Downloads
Published
Issue
Section
License
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.