Makale detayı · 2022
A novel numerical approach for Fredholm integro-differential equations
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
- Yıl
- 2022
- ISSN
0965-5425- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
İngilizce (OpenAlex)
Abstract We examine the numerical solution of a second-order linear Fredholm integro-differential equation (FIDE) by a finite difference method. The discretization of the problem is obtained by a finite difference method on a uniform mesh. We construct the method using the integral identity method with basis functions and dealing with the integral terms by interpolating quadrature rules with remainder terms. We further employ the factorization method to establish the algorithm. We demonstrate the error estimates and the convergence of the method. The numerical results are enclosed to verify the order of accuracy.
Konular
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Advanced Mathematical Modeling in Engineering
Birincil konu Differential Equations and Numerical Methods