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- Title
NUMERICAL SOLUTIONS OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS USING GENERAL LINEAR METHOD.
- Authors
RABIEI, FARANAK; HAMID, FATIN ABD; MAJID, ZANARIAH ABD; ISMAIL, FUDZIAH
- Abstract
In this paper, a third order General Linear Method for finding the numerical solution of Volterra integro-differential equation is considered. The order conditions of the proposed method are derived based on techniques of B-series and rooted trees. The integral operator in Volterra integro-differential equation approximated using Simpsons rule and Lagrange interpolation is dis- cussed. To illustrate the efficiency of third order General Linear Method, we compare the method with a third order Runge-Kutta method.
- Subjects
NUMERICAL solutions to integro-differential equations; VOLTERRA operators; VOLTERRA equations; INTEGRO-differential equations; LINEAR orderings
- Publication
Numerical Algebra, Control & Optimization, 2019, Vol 9, Issue 4, p433
- ISSN
2155-3289
- Publication type
Article
- DOI
10.3934/naco.2019042