Numerical Solution of Pantograph-Type Delay Differential Equations Using Perturbation-Iteration Algorithms
نویسندگان
چکیده
منابع مشابه
Numerical Solution of Delay Differential Equations
After some introductory examples, this chapter considers some of the ways that delay differential equations (DDEs) differ from ordinary differential equations (ODEs). It then discusses numerical methods for DDEs and in particular, how the Runge–Kutta methods that are so popular for ODEs can be extended to DDEs. The treatment of these topics is complete, but it is necessarily brief, so it would ...
متن کاملUsing operational matrix for numerical solution of fractional differential equations
In this article, we have discussed a new application of modification of hat functions on nonlinear multi-order fractional differential equations. The operational matrix of fractional integration is derived and used to transform the main equation to a system of algebraic equations. The method provides the solution in the form of a rapidly convergent series. Furthermore, error analysis of the pro...
متن کاملNumerical Solution of Delay Differential Equations by Differential Transform Method
Introduction: The theory and application of linear and nonlinear delay differential equations is an important subject within physics and applied mathematics. There are several numerical approaches for solving linear and nonlinear delay differential equations. Aim: In this paper, differential transform method ( DTM ) is applied to numerical solution of linear and nonlinear delay differential equ...
متن کاملThe Adomian Decomposition Method and the Differential Transform Method for Numerical Solution of Multi-Pantograph Delay Differential Equations
In this paper, the Adomian Decomposition Method (ADM) and the Differential Transform Method (DTM) are applied to solve the multi-pantograph delay equations. The sufficient conditions are given to assure the convergence of these methods. Several examples are presented to demonstrate the efficiency and reliability of the ADM and the DTM; numerical results are discussed, compared with exact soluti...
متن کاملThe Numerical Solution of Delay-differential-algebraic Equations of Retarded
In this paper we consider the numerical solution of initial-value delay-differentialalgebraic equations (DDAEs) of retarded and neutral types, with a structure corresponding to that of Hessenberg DAEs. We give conditions under which the DDAE is well conditioned and show how the DDAE is related to an underlying retarded or neutral delay-ordinary differential equation (DODE). We present convergen...
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: Journal of Applied Mathematics
سال: 2015
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2015/139821