Author:
Tahernezhad Taherh,Jalilian Reza
Abstract
AbstractIn this paper, we introduce a new scheme based on the exponential spline function for solving linear second-order Fredholm integro-differential equations. Our approach consists of reducing the problem to a set of linear equations. We prove the convergence analysis of the method applied to the solution of integro-differential equations. The method is described and illustrated with numerical examples. The results reveal that the method is accurate and easy to apply. Moreover, results are compared with the method in (J. Comput. Appl. Math. 290:633–640, 2015).
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference56 articles.
1. Amirfakhrian, M., Shakibi, K.: Solving integro-differential equation by using b-spline interpolation. Int. J. Math. Model. Comput. 3, 237–244 (2013)
2. Balci, M.A., Sezer, M.: A numerical approach based on exponential polynomials for solving of Fredholm integro-differential-difference equations. New Trends Math. Sci. 3(2), 44–54 (2015)
3. Bashan, A.: An effective application of differential quadrature method based on modified cubic B-splines to numerical solutions of the KdV equation. Turk. J. Math. 42, 373–394 (2018)
4. Basirat, B., Shahdadi, M.A.: Numerical solution of nonlinear integro-differential equations with initial conditions by Bernstein operational matrix of derivative. Int. J. Mod. Nonlinear Theory Appl. 2, 141–149 (2013)
5. Behiry, S.H.: Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials. J. Comput. Appl. Math. 260, 258–265 (2014)
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献