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Haar Based Numerical Solution Of Fredholm-Volterra Fractional Integro-Differential Equation With Nonlocal Boundary Conditions.
- Source :
-
AIP Conference Proceedings . 2017, Vol. 1798 Issue 1, p1-7. 7p. 2 Charts, 2 Graphs. - Publication Year :
- 2017
-
Abstract
- In this paper, a numerical method is proposed to solve the Fredholm-Volterra fractional integro-differential equation with nonlocal boundary conditions by using Haar wavelets. A collocation based Galerkin's method is applied by using Haar wavelets as basis functions over the interval [0, 1). It converts the Fredholm-Volterra fractional integro-differential equation into a system of m linear equations. On incorporating q nonlocal boundary conditions, it leads to further q equations. All together it will give a system of (m + q) linear equations in (m + q) variables which can be solved. A variety of test examples are considered to illustrate the proposed method. The actual error is also measured with respect to a norm and the results are validated through error bounds. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 1798
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 121027619
- Full Text :
- https://doi.org/10.1063/1.4972732