two-dimensional Volterra integral equation
Nonlocal diffusion, a Mittag-Leffler function and a two-dimensional Volterra integral equation
... This paper has been concerned with a special class of two dimensional Volterra integral equations. A nonlocal diffusion problem was introduced and it was shown that this problem could be ...
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AN APPROXIMATE SOLUTION OF TWO DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATION USING NEWTON-KANTOROVICH METHOD
... nonlinear two dimensional Volterra integral equations ...linear two dimensional Volterra integral equation (LTD- ...the two dimensional ...
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Numerical Solution of Two Dimensional Nonlinear Stochastic Itô Volterra Integral Equations by Applying Block Pulse Functions
... of two-dimensional nonlinear stochastic Itô-Volterra integral ...stochastic integral equation based on block pulse func- ...
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Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel
... In this paper, we applied (LADM) for solution two dimensional linear mixed integral equations of type Volterra- Fredholm with Hilbert kernel. Additionally, comparison was made with Toeplitz ...
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Numerical solution of two-dimensional integral equations of the first kind by multi-step methods
... [6] S. Fazeli, G. Hojjati and H. Kheiri, A piecewise approximation for linear two-dimensional Volterra integral equations by Chebyshev polynomials., I. J. Non. Sci, 16 (2013), 225–261. [7] E. ...
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Numerical Treatment of Nonlinear Volterra Fredholm Integral Equation with a Generalized Singular Kernel
... the two-dimensional linear and nonlinear Volterra- Fredholm integral equation (V-FIE) with singular kernel by utilizing the combined Laplace-Ado- mian decomposition method (LADM) was ...
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Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind
... the Volterra integral equation and it is shown in ...solving two-dimensional Fredholm integral equation (FIE) of the second kind in ...
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A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations
... of two dimensional Volterra-Fredholm integral equations is ...the integral equation obtained by discretization of the integral equation, the convergence of the ...
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Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets
... Singular Volterra integral equation of the first ...kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on wavelets, then we apply the ...
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Approximation solution of two-dimensional linear stochastic Volterra-Fredholm integral equation via two-dimensional Block-pulse functions
... linear Volterra-Fredholm ordinary integral equations arise from vari- ous physical and biological ...to two-dimensional nonlinear and linear Volterra-Fredholm ordinary integral ...
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Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel
... the two-dimensional sin- gular nonlinear mixed Volterra-Fredholm integral equations (V-FIE), which is deduced by using new strategy (combined Laplace homotopy perturbation method ...
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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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Numerical solution of structure integral equation theories for two-dimensional fluid mixtures
... An efficient method has been developed for numerical solution of structure integral equation theories for 2D fluid mixtures. The elements of the Jacobian matrix are [r] ...
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An application of the Romberg Extrapolation on Modified Trapezoidal Quadrature method for solving linear Volterra Integral Equations of the second type
... The Volterra integral equations are used in many problems of physics such as, the particle transport problems of astrophysics, potential theory and Dirichle problem, electrostatic and radiative heat ...
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Numerical Solution of Two-Dimensional Hyperbolic Equations with Nonlocal Integral Conditions Using Radial Basis Functions
... [9] M. Aslefallah, E. Shivanian, A nonlinear par- tial integro-differential equation arising in population dynamic via radial basis func- tions and theta-method, J. of Math. And Com. Sci. , TJMCS. 13 (2014) 14-25. ...
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Solving Mixed Volterra - Fredholm Integral Equation (MVFIE) by Designing Neural Network
... In literatures, different numerical methods used to solve 2-dimensional (MVFIEs) have been reported. In (1) Babolian et al. applied block pulse function and their operational matrix to solve (MVFIEs) in ...
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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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Numerical solution of Hammerstein integral equation using Chebyshev wavelet method
... Hammerstein integral equation to achieve the effectiveness, the validity, the accuracy and support our theoretical discussion in the above ...Hammerstein integral equation of Fredohlm and ...
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1176.pdf
... Particle trajectories were calculated in the same manner as in two dimensions with BIEM providing the local air velocity components at the particle location. The particles were assigned initial conditions as ...
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Attractive Results for the Nonlinear Volterra Random Integral Equation in Separable Banach Space
... Definition 2.8: B. C. Dhage [4] The random equation (2.2) has said to be have locally attractive random solution on ℝ , if there exists a closed ball ( ) in the space CB(ℝ , ℝ) for some ∈ CB(ℝ , ℝ) and for any ...
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