Integral equations Numerical solutions
A NUMERICAL METHOD FOR SOLVING LINEAR INTEGRAL EQUATIONS
... Integral equations find special applicability within scientific and mathematical ...linear integral equations is presented. To check the numerical method, it is applied to solve ...
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On Solving a System of Volterra Integral Equations with Relaxed Monte Carlo Method
... Volterra integral equations to solve, such as elastic system in aviation, viscoelastic and electromagnetic material system and biological system, and some differential equations are often transformed ...
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Numerical Solutions of Volterra Integral Equations of Second kind with the help of Chebyshev Polynomials
... residual numerical method is proposed with Chebyshev polynomials as trial ...Volterra integral equations of second kind having regular as well as weakly singular kernels, in details, in Section ...
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Modified Numerical Method for Solving Fredholm Integral Equations
... Fredholm integral equation of second kind. For the numerical problem, the analytical solution y1has been known in advance, therefore we test the accuracy of the obtained solutions by computing the ...
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Sinc-Galerkin method for approximate solutions of fractional order boundary value problems
... and numerical solutions of fractional differential and integral equations might be listed as power series method [], differential transform method [] and [], homotopy analysis method [], ...
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A New Iterative Method For Solving Fuzzy Integral Equations
... integral equations. The existence and uniqueness of the solution of fuzzy integral equa- tions can be found in [5, 6, 16, 27, 28, ...conditions, solutions of fuzzy integral ...
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A Direct Method for Numerically Solving Integral Equations System Using Orthogonal Triangular Functions
... compute numerical solutions of the linear Volterra and Fred- holm integral equations system is ...an integral equations system to a system of algebraic ...equations. ...
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Exact solutions of nonlinear interval Volterra integral equations
... Volterra integral equa- tions, for example, in fluid mechanics, bio-mechanics [16, 24, ...both numerical and analytical approaches to solve nonlinear equations like as finite differ- ence method, finite ...
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The Numerical Solution of the Fredholm Integral Equations of the Second Kind
... the integral equation ...the integral equation ...of solutions. Note that we have considered only the integral equation of the second kind, where alone this method is ...
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Numerical Methods for Fredholm Integral Equations of the First Kind
... Fredholm integral equation of the first ...formulated. Numerical experiments justified the efficiency of the posteriori estimates applied both to the computationally simulated and experimental backscattered ...
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Existence and numerical solutions of a coupled system of integral BVP for fractional differential equations
... tools of fixed point theory to obtain sufficient conditions for existence and uniqueness of positive solution. Furthermore, the approximate solutions are obtained by using (GDTM). Also, the Hyers–Ulam stability ...
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Numerical investigation of nonlinear volterra hammerstein integral equations via single term haar wavelet series
... given integral equation into a system of non-linear equations, which has to be solved with some kind of iterative ...algebraic equations, thus greatly simplifying the ...integral ...
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Numerical Solution of Volterra Integral Equations of Second Kind
... Volterra integral equations. The numerical results obtained by the proposed method are in good agreement with the exact ...the numerical solutions coincide with the exact ...
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Superconvergence of numerical solutions to second kind integral equations
... Introduction In this chapter we consider the solution of the second kind equation when the kernel is of the form 1 where m is smooth and o has an integrable singularity typically The tw[r] ...
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Numerical Solution of Freholm Volterra Integral Equations by Using Scaling Function Interpolation Method
... Wavelets and scaling functions are a useful tool in ap- proximation methods of solutions of differential and in- tegral equations [1]. We first recall Multiresolution analy- sis (MRA) [2]. We assume the ...
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Solutions of certain boundary integral equations in potential theory
... Fredholm integral equation of the first kind for the source density distribution on the ...Fredholm integral equation of the second kind for the source density distribution on the ...
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A finite difference method for the smooth solution of linear Volterra integral equations
... fast numerical method for the linear Volterra integral equations with regular and weakly singular kernels having smooth ...the integral operator and then discretization of the simplified ...
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Numerical approximation for integral equations
... Figure 3.1 shows the approximate and analytic solutions of the equation. The solid curve represents the approximate solution, while the rhombuses represent the analytic solution. It is obvious from the figure that ...
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Taylor-Series Expansion Methods for Multivariate Hammerstein Integral Equations
... for integral equations, a large volume of research has been accomplished in the last two decades which apply a class of wavelets to numerical solution of integral equations (see [5], ...
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Existence and approximate solutions of nonlinear integral equations
... continuous solutions on compact intervals of some non- linear integral ...such solutions is based on some well-known fixed point theorems in Banach spaces such as Schaefer fixed point theorem, ...
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