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Bernoulli-Type Spectral Numerical Scheme for Initial and Boundary Value Problems with Variable Order.
- Source :
-
Fractal & Fractional . May2023, Vol. 7 Issue 5, p392. 17p. - Publication Year :
- 2023
-
Abstract
- This manuscript is devoted to using Bernoulli polynomials to establish a new spectral method for computing the approximate solutions of initial and boundary value problems of variable-order fractional differential equations. With the help of the aforementioned method, some operational matrices of variable-order integration and differentiation are developed. With the aid of these operational matrices, the considered problems are converted to algebraic-type equations, which can be easily solved using computational software. Various examples are solved by applying the method described above, and their graphical presentation and accuracy performance are provided. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 7
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Fractal & Fractional
- Publication Type :
- Academic Journal
- Accession number :
- 163968472
- Full Text :
- https://doi.org/10.3390/fractalfract7050392