Variational approach to the sixth-order boundary value problems
نویسندگان
چکیده
منابع مشابه
Variational approach to the sixth-order boundary value problems
Recently, Wazwaz [Appl. Math. Comput. 118 (2001) 311–325] applied the Adomian s decomposition method to solve analytically the solution of sixth-order boundary value problems. The same problem is discussed via the variational principle, which reveals to be much more simpler and much more efficient. 2002 Elsevier Science Inc. All rights reserved.
متن کاملNon-polynomial splines approach to the solution of sixth-order boundary-value problems
In this chapter, non-polynomial spline functions are applied to develop numerical methods for obtaining smooth approximations for the following BVP: 6 , , , / , D y x f x y a x b D d dx (3.1) subject to the boundary conditions: 2 4 0 2 4 2 4 0 2 4 , , , , ,. y a A D y a A D y a A y b B D y b B D y b B (3.2) where y x and (,) f x y are continuous functions defined...
متن کاملExistence and nonexistence of positive solution for sixth-order boundary value problems
In this paper, we formulate the sixth-order boundary value problem as Fredholm integral equation by finding Green's function and obtain the sufficient conditions for existence and multiplicity of positive solution for this problem. Also nonexistence results are obtained. An example is given to illustrate the results of paper.
متن کاملHomotopy perturbation method for solving sixth-order boundary value problems
In this paper, we apply the homotopy perturbation method for solving the sixth-order boundary value problems by reformulating them as an equivalent system of integral equations. This equivalent formulation is obtained by using a suitable transformation. The analytical results of the integral equations have been obtained in terms of convergent series with easily computable components. Several ex...
متن کاملA numerical approach to solve eighth order boundary value problems by Haar wavelet collocation method
In this paper a robust and accurate algorithm based on Haar wavelet collocation method (HWCM) is proposed for solving eighth order boundary value problems. We used the Haar direct method for calculating multiple integrals of Haar functions. To illustrate the efficiency and accuracy of the concerned method, few examples are considered which arise in the mathematical modeling of fluid dynamics an...
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: Applied Mathematics and Computation
سال: 2003
ISSN: 0096-3003
DOI: 10.1016/s0096-3003(02)00381-8