Approximate Analytical Solutions For Time-Dependent Emden-Fowler-Type Equations By Variational Iteration Method
نویسندگان
چکیده
منابع مشابه
Approximate analytical solutions for the time-dependent Emden-Fowler-type equations by Variational Homotopy Perturbation Method
In this paper, variational homotopy perturbation method (VHPM) is used to obtain analytical solution for the time-dependent Emden-Fowler type of equations with singular behavior. The advantage of this work is twofold. Firstly, the VHPM reduces the computational work. Secondly, in comparison with existing techniques, the VHPM is an improvment with regard to its accuracy and rapid convergence. To...
متن کاملApproximate solutions of Emden-Fowler type equations
Singular initial value problems are investigated. We extend a decomposition method for di¤erent type Emden-Fowler-like equations. Some special cases of the equation are solved as examples, to illustrate the reliableness of the method. The solutions are constructed in the form of a convergent series.
متن کاملNumerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline Method
A numerical method based on B-spline is developed to solve the time-dependent Emden-Fowler-type equations. We also present a reliable new algorithm based on B-spline to overcome the difficulty of the singular point at 0 x = . The error analysis of the method is described. Numerical results are given to illustrate the efficiency of the proposed method.
متن کاملSolving Two Emden–Fowler Type Equations of Third Order by the Variational Iteration Method
In this paper, we establish two kinds of Emden–Fowler type equations of third order. We investigate the linear and the nonlinear third-order equations, with specified initial conditions, by using the systematic variational iteration method. We corroborate this study by investigating several Emden–Fowler type examples with initial value conditions.
متن کاملSolutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method
In this Letter, we apply the homotopy-perturbation method (HPM) to obtain approximate analytical solutions of the time-dependent Emden– Fowler type equations. We also present a reliable new algorithm based on HPM to overcome the difficulty of the singular point at x = 0. The analysis is accompanied by some linear and nonlinear time-dependent singular initial value problems. The results prove th...
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: American Journal of Applied Sciences
سال: 2007
ISSN: 1546-9239
DOI: 10.3844/ajassp.2007.439.443