On the Solutions of Nonlinear Higher-Order Boundary Value Problems by Using Differential Transformation Method and Adomian Decomposition Method
نویسندگان
چکیده
منابع مشابه
Exact Solutions for a Class of Singular Two-Point Boundary Value Problems Using Adomian Decomposition Method
Some of the most common problems in applied sciences and engineering are usually formulated as singular two-point boundary value problems. A well known fact is that the exact solutions in closed form of such problems were not obtained in many cases. In this paper, the exact solutions for a wide class of singular two-point boundary value problems are obtained by using Adomian decomposition method.
متن کاملNumerical Solutions of Higher Order Nonlinear Boundary Value Problems by New Iterative Method
In this work, we present the approximate solutions of higher order nonlinear boundary value problems by an efficient numerical algorithm. The New Iterative Method (NIM) will by used to find such solutions. The solutions thus obtained by NIM, are in the form of rapidly convergent series. The approach developed is tested through examples, which gives the stability and efficiency of the proposed a...
متن کاملSolution of Higher-Order, Multipoint, Nonlinear Boundary Value Problems with High-Order Robin-Type Boundary Conditions by the Adomian Decomposition Method
In this paper, we propose a new modified recursion scheme for the approximate solution of higher-order, multipoint, nonlinear boundary value problems with higher-order Robin-type boundary conditions by the Adomian decomposition method. Our new approach utilizes all of the boundary conditions to derive an equivalent nonlinear Fredholm-Volterra integral equation before establishing the new modifi...
متن کاملModified Adomian Decomposition Method for Double Singular Boundary Value Problems
where f(t),g(t), and h(t) are known continuous functions of t in the interval (0,1). Here N(u) is a nonlinear function of u. Let the above equation be singular at these two boundary value points t= 0,1. Scientists and engineers are interested in singular BVPs because they arise in a wide range of applications, such as in chemical engineering, mechanical engineering, nuclear industry, and nonlin...
متن کاملThe Extended Adomian Decomposition Method for Fourth Order Boundary Value Problems
In this paper, we use an efficient numerical algorithm for solving two point fourth-order linear and nonlinear boundary value problems, which is based on the Adomian decomposition method (ADM), namely, the extended ADM (EADM). The proposed method is examined by comparing the results with other methods. Numerical results show that the proposed method is much more efficient and accurate than othe...
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: Mathematical Problems in Engineering
سال: 2011
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2011/724927