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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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A Collection Method for the Numerical Solution of Integral Equations

SIAM Journal on Numerical Analysis, 1973
Collocation methods for the solution of equations $(I + K)u = z$ in the space $X = C[a,b]$ when K is a compact linear operator in $[X]$ are studied as projections onto subspaces of spline functions...
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A Method of Numerical Integration for Trajectories with Variational Equations

AIAA Journal, 1972
A method of numerical integration is described which was developed for the computation of ballistic missile trajectories. But the technique is generally applicable to the initial-value problem for systems of ordinary differential equations. The associated variational equations are integrated simultaneously to provide the sensitivity coefficients of the
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A Numerical Method for Proportional Delay Volterra Integral Equations

International Journal of Applied and Computational Mathematics, 2021
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On a Method for the Numerical Integration of Differential Equations

Scientific Proceedings of Vanadzor State University “Natural and Exact Sciences
Key words: difference equations, computational grid, forward sweep, backward sweep, correctness, system of equations This paper examines a boundary value problem for a linear differential equation where the boundary conditions are insufficient to determine the solution y(x) starting from one end of the interval. Typically, the right boundary condition
Sahakyan Robert, Yenokyan Robert
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The numerical method of integral equation in the electric field based on Gaussian numerical integral method

2016 Progress in Electromagnetic Research Symposium (PIERS), 2016
This article discusses an iterative method for the numerical solution of the integral equation in the electric field. This algorithm is based on the Gauss-Seidel iterative method and the Gaussian numerical integral method. Specifically, in the framework of the method of moments, it used Gaussian numerical integral method to obtain linear equations of ...
null Yang Cai   +2 more
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Numerical contour integral methods for unsteady Stokes equations

Computers & Mathematics with Applications, 2018
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Fast Numerical Contour Integral Method for Fractional Diffusion Equations

Journal of Scientific Computing, 2015
This paper is concerned with the numerical solution of one- and two-dimensional space-fractional diffusion equations. After applying spatial discretization by appropriate finite difference schemes, large and structured systems of ordinary differential equations are obtained.
Hong-Kui Pang, Hai-Wei Sun
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A Survey of Numerical Methods for Integral Equations

1979
A brief survey of the existing literature on numerical methods for integral equations is given. Emphasis is placed on equations in one unknown, although it is noted that many methods can be carried over to multidimensional equations as well. Some discussion is presented on the relation of numerical analysis to applications, and areas are delineated for
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