| Autor: |
Birem, F., Boulmerka, A., Laib, H., Hennous, C. |
| Předmět: |
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| Zdroj: |
Iranian Journal of Numerical Analysis & Optimization; 2024, Vol. 14 Issue 2, p613-637, 25p |
| Abstrakt: |
The hyperbolic partial differential equation (PDE) has important practical uses in science and engineering. This article provides an estimate for solving the Goursat problem in hyperbolic linear PDEs with variable coefficients. The Goursat PDE is transformed into a second kind of linear Volterra integral equation. A convergent algorithm that employs Taylor polynomials is created to generate a collocation solution, and the error using the maximum norm is estimated. The paper includes numerical examples to prove the method's effectiveness and precision. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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