In this paper, we use the CAS wavelets as basis functions to numerically solve a system of nonlinear Fredholm integro-differential equations. To simplify the problem, we transform the system into a system of algebraic equations using the collocation method and operational matrices. We show the convergence of the presented method and then demonstrate its high accuracy with several illustrative examples. This approach is particularly effective for equations that admit periodic functions because the employed basis CAS functions are inherently periodic. Throughout our numerical examples, we observe that this method provides exact solutions for equations with trigonometric functions at a lower computational cost when compared to other methods.
Akrami Arani, M., & Sabzevari, M. (2023). Numerical solution of system of nonlinear Fredholm integro-differential equations using CAS wavelets. Journal of Mathematical Modeling, 11(3), 587-602. doi: 10.22124/jmm.2023.24341.2179
MLA
Mostafa Akrami Arani; Mehdi Sabzevari. "Numerical solution of system of nonlinear Fredholm integro-differential equations using CAS wavelets". Journal of Mathematical Modeling, 11, 3, 2023, 587-602. doi: 10.22124/jmm.2023.24341.2179
HARVARD
Akrami Arani, M., Sabzevari, M. (2023). 'Numerical solution of system of nonlinear Fredholm integro-differential equations using CAS wavelets', Journal of Mathematical Modeling, 11(3), pp. 587-602. doi: 10.22124/jmm.2023.24341.2179
VANCOUVER
Akrami Arani, M., Sabzevari, M. Numerical solution of system of nonlinear Fredholm integro-differential equations using CAS wavelets. Journal of Mathematical Modeling, 2023; 11(3): 587-602. doi: 10.22124/jmm.2023.24341.2179
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