method of integral equations
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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Numerical Solution of Freholm Volterra Integral Equations by Using Scaling Function Interpolation Method
... known functions and called kernels. The function f x is known, and the function y t is to be determined. One of the motivations in this study arose from equations in theoretical physics. In fact, there are ...
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A finite difference method for the smooth solution of linear Volterra integral equations
... Volterra integral equations (possibly originated from a boundary value problem) when smoothness of the solution is ...This method is weaker than the previously reported well- known methods such as ...
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On Solving a System of Volterra Integral Equations with Relaxed Monte Carlo Method
... solving integral equations using Monte Carlo method was proposed by Albert [3], and was later developed ...Carlo method to solve numerical solutions of Fredholm integral ...
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Hybrid of Rationalized Haar Functions Method for Mixed Hammerstein Integral Equations
... functions method for solving nonlinear mixed Hammerstein integral ...Hammerstein integral equations are known. For Fredholm-Hammerstein integral equations, the classical ...
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Superconvergence analysis of multistep collocation method for delay functional integral equations
... collocation method for Delay Volterra Integral Equations (DVIEs) from [4] and then, we study the supercon- vergence analysis of the multistep collocation method for ...
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Dhage Iteration Method for Generalized Quadratic Functional Integral Equations
... quadratic integral equation considered here is of very simple nature for which we have il- lustrated the Dhage iteration method to obtain the algorithms for the solutions under weaker partially Lipschitz ...
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A computational method for nonlinear mixed Volterra-Fredholm integral equations
... Volterra-Fredholm integral equation by collocation methods, SIAM ...iterative method for discretized Volterra-Fredholm integral equations, ...
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Numerical Method for solving Volterra Integral Equations with a Convolution Kernel
... a method for the solution of integral equation using the Chebyshev polynomials, while Yousefi[5] presented a numerical method for the Abel integral equation by Legendre ...Volterra ...
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Neumann method for solving conformable fractional Volterra integral equations
... Volterra integral equations in the sense of the conformable fractional ...Neumann method was successfully developed and some theorems related to existence, uniqueness, and sufficient condi- tion of ...
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The Petrov-Galerkin Method for Numerical Solution of Stochastic Volterra Integral Equations
... Petrov-Galerkin method for solution of stochastic Volterra integral ...Volterra integral equation is reduced to algebraic ...this method is done. In Comparison with other methods, this ...
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The Optimal Homotopy Asymptotic Method with Application to Second Kind of Nonlinear Volterra Integral Equations
... decomposition method [2] was introduced, which is an exceptionally effective and powerful method for solving linear and nonlinear problems in various ...Perturbation Method (HPM) [3], Group Analysis ...
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A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential
... nonlinear equations, the author discusses the differential equation of the first order, following this by chapters on the Riccati equation (as a bridge between linear and nonlinear equations) and existence ...
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A Efficient Computational Method for Solving Stochastic Itô-Volterra Integral Equations
... computational method based on this stochastic operational matrix is proposed for solving stochastic Itˆ o-Voltera integral ...proposed method some numerical examples are ...
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Projected Tikhonov regularization method for Fredholm integral equations of the first kind
... regularization method for solving Fredholm integral equations of the first ...this method in the Hilbert space L 2 (a, b) setting and establish some convergence rates under certain regularity ...
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Fuzzy Galerkin method for solving Fredholm integral equations with error analysis
... Fredholm integral equations is ...the method was proved, but without the error ...numerical method for nonlinear fuzzy Fredholm integral equations, based on Henstock ...
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Approximate solution of the stochastic Volterra integral equations via expansion method
... tegration method. This method is simple and effective, and can provide an accurate approxi- mate solution to the stochastic integral ...the method are shown by some numerical examples from ...
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Bernoulli operational matrix method for system of linear Volterra integral equations
... new method based on Bernoulli polynomial and Block-Pulse function has been formulated and em- ployed for the numerical solution of system of Volterra integral equations which arose in many physical ...
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A New Iterative Method For Solving Fuzzy Integral Equations
... tegral equations with constant delay. In [10], the same method has been applied to the solutions that take values in the set of right-sided fuzzy numbers for a fuzzy Volterra integral equation with ...
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New iterative method for solving linear Fredholm fuzzy integral equations of the second kind
... Fuzzy integral equations play major roles in various areas, therefore a new method for finding a solution of the Fredholm fuzzy integral equation is ...This method converts the fuzzy ...
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