Numerical solution of integral equations
Numerical Solution of Differential and Integral Equations
... the solution in the x-y space is represented by the solution on a finite ...differential equations, the initial values for partial differential equations are not simply ...the solution ...
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The Estimation of the Error at Richardson’s Extrapolation and the Numerical Solution of Integral Equations of the Second Kind
... cal Solution of Integral Equations of the Second ...the Numerical Solution of Integral Equations of the Second ...
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Numerical Solution of Fredholm Integral Equations of Second Kind using Haar Wavelets
... Fredholm integral equations are frequently encountered in many physical processes such as dynamic stiffness of rigid rectangular foundations, soil mechanics and rock mechanics, diffraction of waves by ...
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Numerical Solution of Volterra Integral Equations of Second Kind
... Volterra integral equations of second kind with regular and singular kernels by given a numerical algorithm to solve the ...equation. Numerical example are considered to verify the ...
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The Petrov-Galerkin Method for Numerical Solution of Stochastic Volterra Integral Equations
... V. C ONCLUSION We introduced the Petrov-Galerkin method for numerical solution of stochastic Volterra integral equations. The ad- vantages of this method is that it can be constructed simply, ...
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Application of Triangular Functions to Numerical Solution of Stochastic Volterra Integral Equations
... Application of Triangular Functions to Numerical Solution of Stochastic Volterra Integral Equations M. Khodabin 1 , K. Maleknejad 2 , F. Hosseini Shekarabi 3 . ∗ Abstract —In this paper, an ...
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Half-bounded Numerical Solution of Singular Integral Equations with Cauchy Kernel
... a numerical solution for singular integral equations of the first kind with Cauchy kernel over the finite segment [-1,1] is ...The numerical solution is bounded at x =1 and ...
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Numerical solution of linear integral equations system using the Bernstein collocation method
... analytical solution is too complicated, in recent years a lot of attention has been devoted by researchers to find the numerical solution of this ...Volterra integral equations systems. ...
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Numerical Solution of Freholm Volterra Integral Equations by Using Scaling Function Interpolation Method
... tegral equations of the first kind, and Fredholm-Volterra integral ...the numerical solution of Volterra integral equations and Freholm-Volterra integral ...Volterra ...
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Numerical solution of systems of linear Volterra integral equations using block-pulse functions
... method for the computation of numerical solution of system of linear Volterra integral equations (SLVIEs) of the second kind. This paper is organized as follows. Section 2 defines BPFs and ...
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Numerical Solution of Weakly Singular Integral Equations by Using Taylor Series and Legendre Polynomials
... singular integral equations arise in some problems of mathematical ...these equations analytically and analytical solutions in some special cases can be found in [8, 11, 18, 19] hence, the ...
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Theory of block-pulse functions in numerical solution of Fredholm integral equations of the second kind
... in numerical solution of linear Fredholm integral equations and other related functional equations [2, 3, 4, 8, 14, ...approximate solution is led to solve the corresponding ...
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Numerical Solution of Two Dimensional Fredholm Integral Equations of the Second Kind by the Barycentric Lagrange Function*
... the numerical solutions of two di- *This work was supported by the National Natural Science Foundation of China ...(2017) Numerical Solution of Two Dimensional Fredholm Integral ...
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Numerical solution of Volterra–Fredholm integral equations by moving least square method and Chebyshev polynomials
... of integral equations is an important subject within applied ...mathematics. Integral equations of various types appear in many fields of science and ...Differential equations with ...
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On hybrid temporal basis functions for stable numerical solution of time domain boundary integral equations
... as integral equations, such as the boundary integral ...equations. Numerical discretization of integral equations in the time domain often leads to so-called ...
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Product integration techniques for the numerical solution of integral equations
... CHAPTER 5 : The Numerical Solution of First Kind Fredholm Equations with Weakly Singular Periodic Kernels.. REFERENCES.[r] ...
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Numerical solution of integral equations with finite part integrals
... We obtain convergence rates for several algorithms that solve a class of Hadamard singular integral equations using the general theory of approximations for un- bounded operators.. Keywo[r] ...
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Numerical solution and spectrum of boundary-domain integral equations
... solvable integral equation. The numerical results presented in this chapter show that the mesh-based discretization of the BDIE with a quadrilateral bilinear approximation leads to a system of linear ...
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The Numerical Solution of the Fredholm Integral Equations of the Second Kind
... and numerical aspects of the Fredholm integral equation of the second kind due to their wide range of physical application such as heat conducting radiation, elasticity, potential theory and ...these ...
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Numerical solution of the system of Volterra integral equations of the first kind
... approximate solution a system of Volterra integral equation of the first ...Volterra integral equations to a system of Volterra integro- differential equations that use VIM and MVIM to ...
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