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- Title
Bernoulli Polynomials Collocation Method for Multi-term Fractional Differential Equations.
- Authors
Xumei Chen; Siyi Lei; Linjun Wang
- Abstract
In this paper, the numerical solutions of multi-term fractional differential equations are studied by Bernoulli polynomials collocation method. By using the operational matrix and collocation method, the equations are simplified to a system of algebraic equations with unknown Bernoulli coefficients. Detailed error analysis is also given. Numerical examples are used to verify the efficiency and accuracy of the approach. According to the numerical results, the proposed method can be used as an alternative to obtaining the numerical solutions of this kind of multi-term fractional differential equations.
- Subjects
FRACTIONAL differential equations; BERNOULLI polynomials; BERNOULLI equation; ALGEBRAIC equations; ERROR analysis in mathematics; COLLOCATION methods
- Publication
IAENG International Journal of Applied Mathematics, 2020, Vol 50, Issue 3, p45
- ISSN
1992-9978
- Publication type
Article