A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems
نویسندگان
چکیده
منابع مشابه
The combined reproducing kernel method and Taylor series for solving nonlinear Volterra-Fredholm integro-differential equations
In this letter, the numerical scheme of nonlinear Volterra-Fredholm integro-differential equations is proposed in a reproducing kernel Hilbert space (RKHS). The method is constructed based on the reproducing kernel properties in which the initial condition of the problem is satised. The nonlinear terms are replaced by its Taylor series. In this technique, the nonlinear Volterra-Fredholm integro...
متن کاملDirect method for solving nonlinear two-dimensional Volterra-Fredholm integro-differential equations by block-pulse functions
In this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional Volterra-Fredholm integro-differential equations. Here, we use the so-called two-dimensional block-pulse functions.First, the two-dimensional block-pulse operational matrix of integration and differentiation has been presented. Then, by using this matrices, the nonlinear two-dimensional Vol...
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 کاملDirect method for solving nonlinear two-dimensional Volterra-Fredholm integro-differential equations by block-pulse functions
In this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional Volterra-Fredholm integro-differential equations. Here, we use the so-called two-dimensional block-pulse functions.First, the two-dimensional block-pulse operational matrix of integration and differentiation has been presented. Then, by using this matrices, the nonlinear two-dimensional Vol...
متن کاملA Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations
In this paper, a Bernoulli pseudo-spectral method for solving nonlinear fractional Volterra integro-differential equations is considered. First existence of a unique solution for the problem under study is proved. Then the Caputo fractional derivative and Riemman-Liouville fractional integral properties are employed to derive the new approximate formula for unknown function of the problem....
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: Abstract and Applied Analysis
سال: 2018
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2018/3569139