Utilizing Cubic B-Spline Collocation Technique for Solving Linear and Nonlinear Fractional Integro-Differential Equations of Volterra and Fredholm Types

I Ali, M Yaseen, I Akram - Fractal and Fractional, 2024 - mdpi.com
Fractional integro-differential equations (FIDEs) of both Volterra and Fredholm types present
considerable challenges in numerical analysis and scientific computing due to their complex …

Enhanced numerical resolution of the Duffing and Van der Pol equations via the spectral homotopy analysis method employing chebyshev polynomials of the first kind

M Bouakkaz, N Arar, M Meflah - Journal of Applied Mathematics and …, 2024 - Springer
In our investigation, we apply the spectral homotopy analysis method (SHAM) to tackle the
numerical resolution of the Duffing and Van Der Pol equations. We compute the numerical …

[PDF][PDF] 用B 样条函数求解沃尔特拉型积分-分数阶微分方程的数值近似

DK Abdullah, KHF Jwamer, SS Ahmed - 2024 - researchgate.net
摘要本文使用线性B 样条函数提出了一种数值近似方法, 用于求解经典和分数阶沃尔特拉积分
微分方程组(CF-VIDE). 该过程首先将问题域划分为有限区间排列, 并在这些区间上创建线性B …