A reliable modification of Adomian decomposition method

نویسنده

  • Abdul-Majid Wazwaz
چکیده

In this paper we propose a powerful modi®cation of Adomian decomposition method that will accelerate the rapid convergence of the series solution. The validity of the modi®ed technique is veri®ed through illustrative examples. In all cases of di€erential and integral equations, we obtained excellent performance from the modi®ed algorithm. The modi®cation could lead to a promising approach for many applications in applied sciences. Ó 1999 Elsevier Science Inc. All rights reserved.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Adomian decomposition method for solution of nonlinear differential algebraic equations

In [M.M. Hosseini, Adomian decomposition method with Chebyshev polynomials, Appl. Math. Comput., in press] an efficient modification of the Adomian decomposition method was presented by using Chebyshev polynomials. Also, in [M.M. Hosseini, Adomian decomposition method for solution of differential algebraic equations, J. Comput. Appl. Math., in press] solution of linear differential algebraic eq...

متن کامل

A new algorithm for solving Van der Pol equation based on piecewise spectral Adomian decomposition ‎method‎

‎‎In this article‎, ‎a new method is introduced to give approximate solution to Van der Pol equation‎. ‎The proposed method is based on the combination of two different methods‎, ‎the spectral Adomian decomposition method (SADM) and piecewise method‎, ‎called the piecewise Adomian decomposition method (PSADM)‎. ‎The numerical results obtained from the proposed method show that this method is an...

متن کامل

Numerical solution of a system of fuzzy polynomial equations by modified Adomian decomposition method

In this paper, we present some efficient numerical algorithm for solving system of fuzzy polynomial equations based on Newton's method. The modified Adomian decomposition method is applied to construct the numerical algorithms. Some numerical illustrations are given to show the efficiency of algorithms.

متن کامل

Adomian Decomposition Method On Nonlinear Singular Cauchy Problem of Euler-Poisson- Darbuox equation

n this paper, we apply Picard’s Iteration Method followed by Adomian Decomposition Method to solve a nonlinear Singular Cauchy Problem of Euler- Poisson- Darboux Equation. The solution of the problem is much simplified and shorter to arriving at the solution as compared to the technique applied by Carroll and Showalter (1976)in the solution of Singular Cauchy Problem. 

متن کامل

New Approach for General Convergence of the Adomian Decomposition Method

Abstract: Convergence of Adomian decomposition method (ADM) is ofa great importance when applied to different types of linear and nonlinear equations.In this paper, a general proof of convergence of ADM is introduced. In this work, a reliable approach for convergence of the Adomian method is discussed. Convergence analysis is reliable enough to estimate the maximum absolute truncated error of t...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 102  شماره 

صفحات  -

تاریخ انتشار 1999