volterra integral equation system
Fuzzy bivariate Chebyshev method for solving fuzzy Volterra-Fredholm integral equations
... Keywords : F uzzy numbers; F uzzy Volterra-Fredholm integral equation; Fuzzy bivariate Chebyshev.. method; Dual fuzzy linear system; Nonnegative matrix.[r] ...
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An approximation method for the solving a class of nonlinear integral equations
... nonlinear integral equation of the first and second kind Fredholm–Volterra integral equations of the second kind by transformingour problems into a system of nonlinear algebraic ...
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Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations
... this equation analytically is very difficult or even sometimes impossible, so we develop an efficient numerical method to solve ...this equation converts to the nonlinear system of algebraic equations ...
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SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL EQUATION METHODS
... a system 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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Numerical Implementation of Triangular Functions for Solving a Stochastic Nonlinear Volterra-Fredholm Integral Equation
... nonlinear volterra-fredholm integral equation (SNVFIE) driven by a standard Brownian motion ...nonlinear system of 3m + 3 equations and 3m + 3 ...
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Random Integral Equation of the Volterra Type with Applications
... Before showing that (6.13) possesses a unique random solution we observe that the above description applies to many systems. If we replace the word “telephone exchange” with “serving mechanism” and the words “channel”, ...
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Fredholm Volterra integral equation with potential kernel
... finite system of integral equations in three dimensions, then, by using the method of separation of variables, we represent the integral equation to a system of Fredholm integral ...
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Numerical solution of the system of Volterra integral equations of the first kind
... a system of Volterra integral equation of the first ...a system of Volterra integral equations to a system of Volterra integro- differential equations that ...
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Solving Mixed Volterra - Fredholm Integral Equation (MVFIE) by Designing Neural Network
... In other words, (ANN) is an interconnected system of nodes ('equivalent to neurons of a human brain') by weighted arrows ('equivalent to synapses between neurons').The outcome of (ANN) is altered by changing the ...
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A Efficient Computational Method for Solving Stochastic Itô-Volterra Integral Equations
... in system analysis, system identification, optimal control and numer- ical solution of integral and differential equations ...o-Voltera integral equation is ...
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Numerical solution of Hammerstein integral equation using Chebyshev wavelet method
... including integral, algebraic, differential, partial-differential, functional-delay and integro- differential ...cum Volterra Hammerstein integral equations and provide accurate ...
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A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations
... We organize this article as follows. A brief re- view on TFs and their vector forms is provided in section 2. A special representation of TFs, intro- duced in [5], is surveyed in section 3. Section 4 presents the ...
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Attractive Results for the Nonlinear Volterra Random Integral Equation in Separable Banach Space
... random equation arises in many branches of physics, life science and engineering, as well as in other branches of technology and ...mathematical equation and then study it’s ...
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Numerical Treatment of Nonlinear Volterra Fredholm Integral Equation with a Generalized Singular Kernel
... the integral Equation (1), in [2]-[5] a few tech- niques, for example, the projection method, time collocation method, the trapezoidal Nystrom method, and fur- thermore analytical or numerical techniques ...
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Nonlocal diffusion, a Mittag-Leffler function and a two-dimensional Volterra integral equation
... With this motivation the integral equation was studied in more detail. We showed that, when the kernel and forcing function are both chosen to have the value of unity, this gave rise to an analytic solution ...
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On Existence of Solutions of q Perturbed Quadratic Integral Equations
... [8]-[11], integral equations with nonsigular kernels have been ...quadratic Volterra equations with ...quadratic integral equations of arbitrary orders with singular ...quadratic integral ...
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Crisp Function Of Integral Nonlinaer Equation Of The Second Kind Over The Fuzzy Interval With Application
... crisp integral 𝑢 𝑖 over the fuzzy interval, and we will using the system of nonlinear integral equation by using trapezoidal technique and comparing with the exact solution and calculate the ...
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On the Volterra property of a boundary problem with integral gluing condition for a mixed parabolic-hyperbolic equation
... In the present work, we study the analog to the generalized Tricomi problem with an integral gluing condition on the line of type changing. We prove that the formulated prob- lem has the Volterra property. ...
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On the Existence of Locally Attractive Solutions of a Nonlinear Quadratic Volterra Integral Equation of Fractional Order
... and integral equations of fractional order has recently received a lot of attention and now constitutes a significant branch of nonlinear ...and integral equations of fractional order ...
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On The Existence Of Locally Attractive Solutions Of A Nonlinear Quadratic Volterra Integral Equation Of Fractional Order
... Denote by L 1 (a, b) the space of Lebesgue integrable func- tions on the interval (a, b), which is equipped with the standard norm. Let x ∈ L 1 (a, b) and let α > 0 be a fixed number. The Riemann-Liouville fractional ...
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