Variation of parameters method with an auxiliary parameter for initial value problems
نویسندگان
چکیده
منابع مشابه
An optimal analytical method for nonlinear boundary value problems based on method of variation of parameter
In this paper, the authors present a modified convergent analytic algorithm for the solution of nonlinear boundary value problems by means of a variable parameter method and briefly, the method is called optimal variable parameter method. This method, based on the embedding of a parameter and an auxiliary operator, provides a computational advantage for the convergence of the approximate soluti...
متن کاملVariation of Parameters Method for Initial and Boundary Value Problems
In this paper, we apply the Variation of Parameters Method (VPM) for solving initial and boundary value problems of diversified physical nature. The analytical results are calculated in terms of convergent series with easily computable components. The proposed VPM is applied without any discretization, perturbation, transformation or restrictive assumptions and is free from round off errors and...
متن کاملMODIFIED K-STEP METHOD FOR SOLVING FUZZY INITIAL VALUE PROBLEMS
We are concerned with the development of a K−step method for the numerical solution of fuzzy initial value problems. Convergence and stability of the method are also proved in detail. Moreover, a specific method of order 4 is found. The numerical results show that the proposed fourth order method is efficient for solving fuzzy differential equations.
متن کاملAn automatic multistep method for solving stiff initial value problems
A multistep method with matricial coefficients is developed. It can be used to solve stiff initial value problems of the form y’= Ay + g(x,y). This method bears the nature of the classical Adams-Bashforth-Moulton PC formula and can be shown to be consistent, convergent and A-stable. A careful reformulation of this method legitimatizes the implementation of this algorithm in a variable-step vari...
متن کاملmodified k-step method for solving fuzzy initial value problems
we are concerned with the development of a k−step method for the numerical solution of fuzzy initial value problems. convergence and stability of the method are also proved in detail. moreover, a specific method of order 4 is found. the numerical results show that the proposed fourth order method is efficient for solving fuzzy differential equations.
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: Ain Shams Engineering Journal
سال: 2018
ISSN: 2090-4479
DOI: 10.1016/j.asej.2016.09.014