The main objective of this work is to provide a high-order numerical method to solve a class of integro-differential equations. By multiplying some efficient factors and constructing an appropriate approximate function, as well as utilizing a numerical integration method with order $\gamma$, the above-mentioned problem can be simplified to a non-linear system of algebraic equations. Furthermore, we discuss the convergence analysis of the presented method, in detail, and demonstrate that it converges with order $\mathcal{O}(h^{3.5})$ in $L^2$-norm. Some test examples are provided to demonstrate that the claimed order of convergence is obtained.
Amiri, S. and Eshaghnezhad, M. (2024). High-order numerical solution for a class of nonlinear Fredholm integro-differential equations. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2024.58818.2489
MLA
Amiri, S. , and Eshaghnezhad, M. . "High-order numerical solution for a class of nonlinear Fredholm integro-differential equations", Computational Methods for Differential Equations, , , 2024, -. doi: 10.22034/cmde.2024.58818.2489
HARVARD
Amiri, S., Eshaghnezhad, M. (2024). 'High-order numerical solution for a class of nonlinear Fredholm integro-differential equations', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2024.58818.2489
CHICAGO
S. Amiri and M. Eshaghnezhad, "High-order numerical solution for a class of nonlinear Fredholm integro-differential equations," Computational Methods for Differential Equations, (2024): -, doi: 10.22034/cmde.2024.58818.2489
VANCOUVER
Amiri, S., Eshaghnezhad, M. High-order numerical solution for a class of nonlinear Fredholm integro-differential equations. Computational Methods for Differential Equations, 2024; (): -. doi: 10.22034/cmde.2024.58818.2489
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