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Two Schemes Based on the Collocation Method Using Müntz–Legendre Wavelets for Solving the Fractional Bratu Equation.
- Source :
- Axioms (2075-1680); Aug2024, Vol. 13 Issue 8, p527, 14p
- Publication Year :
- 2024
-
Abstract
- Our goal in this work is to solve the fractional Bratu equation, where the fractional derivative is of the Caputo type. As we know, the nonlinearity and derivative of the fractional type are two challenging subjects in solving various equations. In this paper, two approaches based on the collocation method using Müntz–Legendre wavelets are introduced and implemented to solve the desired equation. Three different types of collocation points are utilized, including Legendre and Chebyshev nodes, as well as uniform meshes. According to the experimental observations, we can confirm that the presented schemes efficiently solve the equation and yield superior results compared to other existing methods. Also, the schemes are convergent. [ABSTRACT FROM AUTHOR]
- Subjects :
- COLLOCATION methods
CAPUTO fractional derivatives
EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 13
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 179351767
- Full Text :
- https://doi.org/10.3390/axioms13080527