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Efficient and accurate temporal second‐order numerical methods for multidimensional multi‐term integrodifferential equations with the Abel kernels

Numerical Methods for Partial Differential Equations, 2023
This work develops two temporal second‐order alternating direction implicit (ADI) numerical schemes for solving multidimensional parabolic‐type integrodifferential equations with multi‐term weakly singular Abel kernels. For the two‐dimensional (2D) case,
Mingchao Zhao, Hao Chen, Kexin Li
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A new and efficient numerical method based on shifted fractional‐order Jacobi operational matrices for solving some classes of two‐dimensional nonlinear fractional integral equations

Numerical Methods for Partial Differential Equations, 2021
The aim of this paper is to present a new and efficient numerical method to approximate the solutions of two‐dimensional nonlinear fractional Fredholm and Volterra integral equations.
K. Maleknejad   +2 more
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An integral equation method for the numerical solution of the Burgers equation

Computers & Mathematics with Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Egidi N., Maponi P., Quadrini M.
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A numerical method based on hybrid orthonormal Bernstein and improved block‐pulse functions for solving Volterra–Fredholm integral equations

Numerical Methods for Partial Differential Equations, 2022
This paper deals with the numerical solution of the integral equations of linear second kind Volterra–Fredholm. These integral equations are commonly used in engineering and mathematical physics to solve many of the problems.
M. Ramadan, H. Osheba, Adel R. Hadhoud
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Numerical method for a nonlinear boundary integral equation

Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khosrow Maleknejad, Hamid Mesgrani
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On a numerical method for resolution of integral equations

Journal of Numerical Mathematics, 2006
The author considers the integral equation \(\int_0^aK(x-t)f(t)dt=g(x), 0 \leq x \leq a\), and discusses the use of a family of numerical methods, which are particular cases of the general Galerkin method, to find approximate solutions to equations of this type.
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Numerical Methods for Integral–Differential Equations

2021
Integro-differential equations are encountered in various fields of science. It plays an important role in many branches of linear and nonlinear functional analysis and their applications are in Theory of Science, Engineering and Social science.
Tofigh Allahviranloo, Armin Esfandiari
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Integrated method of the numerical decision of the algebraic equations

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Physics‐based preconditioning of Jacobian‐free Newton–Krylov solver for Navier–Stokes equations using nodal integral method

International Journal for Numerical Methods in Fluids, 2023
The nodal integral methods (NIMs) have found widespread use in the nuclear industry for neutron transport problems due to their high accuracy. However, despite considerable development, these methods have limited acceptability among the fluid flow ...
Nadeem Ahmed, Suneet Singh, Niteen Kumar
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