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Numerical Treatment of First Order Volterra Integro-Differential Equation Using Non-Polynomial Spline Functions.
- Source :
-
Iraqi Journal of Science . 2020 Special Issue, Vol. 61, p114-121. 8p. - Publication Year :
- 2020
-
Abstract
- The approach given in this paper leads to numerical methods to find the approximate solution of volterra integro -diff. equ.1st kind. First, we reduce it from integro VIDEs to integral VIEs of the 2nd kind by using the reducing theory, then we use two types of Non-polynomial spline function (linear, and quadratic). Finally, programs for each method are written in MATLAB language and a comparison between these two types of Non-polynomial spline function is made depending on the least square errors and running time. Some test examples and the exact solution are also given. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIFFERENTIAL equations
*POLYNOMIALS
*SPLINE theory
*LEAST squares
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00672904
- Volume :
- 61
- Database :
- Academic Search Index
- Journal :
- Iraqi Journal of Science
- Publication Type :
- Academic Journal
- Accession number :
- 143502999
- Full Text :
- https://doi.org/10.24996/ijs.2020.SI.1.15