Volterra integral equations solution
Approximate Solution of the Volterra Random Integral Equations
... kind Volterra random integral equations using two approximate methods, namely the collocation method and the method of approximating the integral ...of integral equations has so ...
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The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... the Volterra integral equations and their solution ...The solution of this integral equation is the unknown function u(x) which satisfies that equation, but there is the problem ...
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SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL EQUATION METHODS
... of Volterra integral equations equivalent to the direct problem and prove the existence and uniqueness of the solution to this system, then we prove the existence of solution to the ...
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Newton-Product Integration for a Stefan Problem with Kinetics
... nonlinear Volterra integral equations of the second kind and Newton's method is applied to linearize ...integration solution of the linear form is obtained in section ...
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Spectral Methods for Volterra Integral Equations
... solve Volterra integral equations of type ...the solution obtained by Numerical approximation method may not be as close to the theoretical solution as ...
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Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials
... Table 5 shows the comparison between the exact solution and approximate solution obtained by proposed method for different values of N. Also, in this table we compare proposed method with modification of hat ...
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Numerical Solution of Volterra-Fredholm Integral Equations with The Help of Inverse and Direct Discrete Fuzzy Transforms and Collocation Technique
... solving Volterra-Fredholm integral equations, many methods with enough accuracy and efficiency have been used before by many researches [6, 7, 8, 9, 10, 11, 12, 13, 14, ...of Volterra-Fredholm ...
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Application of A Second Derivative Multi-Step Method to Numerical Solution of Volterra Integral Equation of Second Kind
... Thus, for determining the coefficients i , , ( = 0,1,2,..., ) i i i k we get a homogeneous system of linear-algebraic equation in which the amount of unknowns equals 3 3 k , the amount of equation p 1 . It is ...
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A Solution of Second Kind Volterra Integral Equations Using Third Order Non-Polynomial Spline Function Sarah H. Harbi| Mohammed Ali Murad| Saba N. Majeed
... In this paper, non-polynomial spline function method for solving Volterra integral equations of the second kind is presented successfully. This idea based on the use of the VIE's and its derivatives. ...
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A finite difference method for the smooth solution of linear Volterra integral equations
... This paper is organized as follows: In section two, we briefly state some general results on the solvability and smoothness of the solution. In the third section, we fully describe our numerical scheme. In section ...
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Numerical solution of nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets
... Stochastic integral equations are widely applied in engineering, biology, oceanography, physical sciences, ...stochastic Volterra integral equations do not have ex- act solutions, so it ...
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Numerical solution of systems of linear Volterra integral equations using block-pulse functions
... of integral equations to a linear system of Ordinary Differential Equations, which are solved by constructing appropriate boundary conditions ...
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Numerical solution of general nonlinear Fredholm-Volterra integral equations using Chebyshev approximation
... As shown by numerical examples, the method in- troduced here can be simply implemented to gen- eral nonlinear integral equations of the second kind. The advantages are much less implemen- tations and fast ...
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Some New Applications of Elzaki Transform for Solution of Linear Volterra Type Integral Equations
... In this research Elzaki transform has been successfully applied to linear Volterra type integral equations to find analytic solutions. It has been established that El- zaki transform is a robust ...
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Existence and Uniqueness of Solution for Linear Mixed Volterra-Fredholm Integral Equations in Banach Space
... Applying the algorithm of the FPM with different values of n the following results that are listed in Table 2 are obtained, while Figure 2 gives a comparison between the exact and the approximate solution using ...
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Convergence of approximate solution of delay Volterra integral equations
... In the present section, we state the solvability of integral equations with vanishing delay. The following theorem generalizes Volterras 1897 classical result on the existence and uniqueness of solutions ...
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A Survey of Regularization Methods of Solution of Volterra Integral Equations of the First Kind
... original Volterra integral equations of the first kind are replaced with equations of the second kind (precisely, integro-differential equation of the second kind) of Fredholm ...the ...
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The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w distances
... differential equations nowadays is a large subject of mathematics, which found numerous applications of many branches such as physics, en- gineering, and other fields connected with real-world ...
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Numerical solution of the system of Volterra integral equations of the first kind
... the solution of sys- tems of Volterra integral equations of the first ...of Volterra integral equations of the first kind by using various methods, such as Adomian ...
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Numerical Solution of Volterra Integral Equations of Second Kind
... kind Volterra integral ...of Volterra Integral Equations of Second kind with the help of Trapezoidal method are used in the approximation, which are shown in the numerical ...other ...
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