Abstract
In this paper, the fractional integral and differential equations of Bratu type, which arise in many important physical phenomena, are investigated by an effective technique, Chebyshev Finite Difference Method with the help of fractional derivative in the concept of Caputo. The effect of the fractional derivative in the outcomes has great agreement with the nonlocality of the problem. The truncation and round of errors and convergence analyzes of the present method are also given. Numerical solutions of illustrative examples of the fractional integral and differential equations of Bratu type are given to highlight the validity and performance of the method. The results of the comparisons are very satisfied and show that the proposed technique is more effective and highly accurate than the other methods.
| Original language | English |
|---|---|
| Pages (from-to) | 94-102 |
| Number of pages | 9 |
| Journal | Turkish World Mathematical Society Journal of Applied and Engineering Mathematics |
| Volume | 14 |
| Issue number | 1 |
| Publication status | Published - 2024 |
Bibliographical note
Publisher Copyright:© 2024, Işsık University, Department of Mathematics, all rights reserved.
Keywords
- Chebyshev finite difference method
- Collocation Method
- Fractional Bratu type equation
- Fractional Integro-Differential Equation