Open AccessNumerical Solution of Fractional Integro-differential Equations with Weakly Singular Kernels via Bernstein Polynomial
Author(s) -
Lei Li,
Guang Zeng,
Binbin Wang,
Ning Dong
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1624/3/032011
Subject(s) - bernstein polynomial , mathematics , convergence (economics) , polynomial , collocation method , collocation (remote sensing) , differential equation , mathematical analysis , fractional calculus , ordinary differential equation , computer science , machine learning , economics , economic growth
This paper is concerned with obtaining approximate numerical solutions of a class of fractional Volterra integro-differential equations with weakly singular kernels which using Bernstein Polynomials as basis in collocation methods(BPCM). The approximate solution is obtained by expanding the functions in terms of Bernstein Polynomial, whose unknown coefficients are determined by solving final system of linear equations. The convergence analysis of the proposed method are taken into consideration and Numerical examples are included to confirm the efficiency and accuracy of the method.