[PDF] Top 20 Numerical solution of Volterra partial integro differential equations based on sinc collocation method
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Numerical solution of Volterra partial integro differential equations based on sinc collocation method
... Modeling phenomena in viscoelasticity, biological models, chemical kinetics, heat con- duction in materials with memory, population dynamics, fluid dynamics and nuclear re- actor dynamics, mathematical biology, financial ... See full document
21
Numerical solution of multi-order fractional differential equations via the sinc collocation method
... the sinc collocation method for solving equation (1). The sinc method is an efficient method developed by Stenger ...the numerical solution of initial and boundary ... See full document
13
Convergence of approximate solution of delay Volterra integral equations
... paper, sinc-collocation method is discussed to solve Volterra func- tional integral equations with delay function ...of numerical solutions for these equations are ... See full document
13
Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions
... in numerical analysis; numerical solution of linear and nonlinear inte- gral, integro-differential, and differential equa- tions; numerical linear algebra; and computa- ... See full document
9
Solving Singular Partial Integro-Di¤Erential Equations Using Taylor Series
... . Equations of this form are usually difficult to solve analytically so it is required to obtain an efficient approximate or numerical ...series method for Volterra ... See full document
6
A numerical method for partial fractional Fredholm integro-differential equations
... expansion method, based on orthonormal polyno- mials to solve ...presented method on three test problems and showed that the numerical results have high accuracy comparing with exact val- ... See full document
11
A spectral collocation method for stochastic Volterra integro differential equations and its error analysis
... (SVID) equations based on the Legendre-spectral collocation ...the solution of the given SVID is sufficiently ...of numerical experiments will be ... See full document
14
The stability of collocation methods for higher order Volterra integro differential equations
... these equations and many other interesting methods for the approximated solution, stability procedures and applications are available in earlier literatures [1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, ... See full document
15
An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method Mohammed G. S. AL-Safi
... the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation ...and collocation method ... See full document
8
Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
... fractional differential and fractional integro-differential equations different numerical techniques have been ...fractional differential transform method is extended to ... See full document
7
wavelet collocation method for solving integro-differential equation.
... Wavelet collocation method for numerical solution nth order Volterra integro diferential equations (VIDE) by expanding the unknown functions, as series in terms of ... See full document
7
Hermite Wavelet Collocation Method for the Numerical Solution of Integral and Integro - Differential Equations
... wavelet collocation method for the numerical solution of Volterra, Fredholm, mixed Volterra-Fredholm integral equations, integro-differential ... See full document
17
Numerical solution of a singularly perturbed Volterra integro differential equation
... perturbed integro-differential-algebraic equations and sin- gularly perturbed integro-differential systems has been solved by Kauthen [, ] by im- plicit Runge-Kutta ...perturbed Volterra ... See full document
15
A direct method and convergence analysis for some system of singular integro-differential equations
... Since analytic solution to SIDE is rarely available, we look for an approximate solution to the SIDE using direct methods. Most of early direct methods for SIE and SIDE are designed for the case where the ... See full document
17
Solving a Class of N-Order Linear Differential Equations by the Recursive Relations and it’s Algorithms in MATLAB
... find differential equations, which these equations are N-Order Linear differential equations and solutions relatively complex, therefore researchers have forced to use numerical ... See full document
9
14. On the stability and instability of functional Volterra integro-differential equations of first order
... Via Lyapunov functionals and basic inequalities, sufficient conditions are given for the exponential stability (ES) and instability (I) of the trivial solution of the former (VIDE). We introduce two new results ... See full document
10
Numerical Solution of Nonlinear Integro Differential Equations with Initial Conditions by Bernstein Operational Matrix of Derivative
... . The results of the proposed method for this example are exhibited in Table 5 with 4 choices of . For this complicated NVFIDE, we get acceptable results with a small number of Bern- stein basis functions. We ... See full document
9
A numerical technique based on operational matrices for solving nonlinear integro-differential equations
... perturbation Method for the nonlinear fractional integro differentioal equations, Aus- tralian Journal of Basic an Applied Sciencec 4 (12) (2010) ... See full document
16
Chebyshev Galerkin method for integro-differential equations of the second kind
... Integro-differential equations occur in various areas. These equations arise in mathematical modeling of many scientific phenomena, such as fluid dy- namics, solid state physics, plasma physics, ... See full document
13
Numerical Solution of the Fredholme Volterra Integral Equation by the Sinc Function
... [6] N. Eggert, M. Jarrat and J. Lund, “Sinc Function Compu- tation of the Eigenvalues of Sturm—Liouville Problems,” Journal of Computational Physics, Vol. 69, No. 1, 1987, pp. 209-229. ... See full document
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