Difference derivative for an integro-differential nonlinear Volterra equation
نویسندگان
چکیده
منابع مشابه
Analytical-Approximate Solution for Nonlinear Volterra Integro-Differential Equations
In this work, we conduct a comparative study among the combine Laplace transform and modied Adomian decomposition method (LMADM) and two traditional methods for an analytic and approximate treatment of special type of nonlinear Volterra integro-differential equations of the second kind. The nonlinear part of integro-differential is approximated by Adomian polynomials, and the equation is reduce...
متن کاملAn Enhanced Modified Homotopy Perturbation Method for Solving Nonlinear Volterra and Fredholm Integro-Differential Equation
The aim of this paper is to find the exact solution of nonlinear integro-differential equations using a novel enhanced mo dified homotopy perturbation method. To achieve this goal, we apply the new modified technique and enhance it by separating the known analytic function into two parts. Several examples are provided to present the strength and rapid convergence of proposed method. Some of the...
متن کاملAn Integro-differential Equation of Volterra Type with Sumudu Transform
In this paper a closed form solution of a fractional integro-differential equation of Volterra type involving Mittag-Leffler function has been obtained using straight forward technique of Sumudu transform. Some particular cases have also been considered.
متن کاملAn Approximate Method for System of Nonlinear Volterra Integro-Differential Equations with Variable Coefficients
In this paper, we apply the differential transform (DT) method for finding approximate solution of the system of linear and nonlinear Volterra integro-differential equations with variable coefficients, especially of higher order. We also obtain an error bound for the approximate solution. Since, in this method the coefficients of Taylor series expansion of solution is obtained by a recurrence r...
متن کاملApplication of Legendre operational matrix to solution of two dimensional nonlinear Volterra integro-differential equation
In this article, we apply the operational matrix to find the numerical solution of two- dimensional nonlinear Volterra integro-differential equation (2DNVIDE). Form this prospect, two-dimensional shifted Legendre functions (2DSLFs) has been presented for integration, product as well as differentiation. This method converts 2DNVIDE to an algebraic system of equations, so the numerical solution o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
سال: 2020
ISSN: 2076-5959,1994-9197
DOI: 10.35634/vm200203