A Monotone Second-Order Numerical Method for Fredholm Integro-Differential Equation
Mediterranean Journal of Mathematics, cilt.21, sa.7, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 21 Sayı: 7
- Basım Tarihi: 2024
- Doi Numarası: 10.1007/s00009-024-02746-6
- Dergi Adı: Mediterranean Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Fredholm integro-differential equation, finite difference method, error estimate, uniform convergence
- Kırklareli Üniversitesi Adresli: Evet
Özet
The purpose of this study is to present a monotone type numerical method for solving Fredholm integro-differential equations. To solve this problem numerically, we have established a finite difference scheme on a uniform mesh using the composite trapezoidal formula. Furthermore, it has been proven that this presented method is second-order convergent in the discrete maximum norm. To support the theoretical basis of this proposed approach, numerical results are presented.