Affiliation:
1. HITIT UNIVERSITY
2. Azerbaijan National Academy of Sciences
3. TOKAT GAZİOSMANPAŞA ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ
Abstract
The main purpose of this work is to provide a new approximation method, the so-called parameterised differential transform method (PDTM), for solving high-order boundary value problems (HOBVPs). Our method is based on the classical differential transform method and differs from it by calculating the coefficients of the solution, which has the form of a series. We applied the proposed new method to fourth-order boundary value problems to substantiate it. The resulting solution is graphically compared with the exact solution and the solutions obtained by the classical DTM and ADM methods.
Reference19 articles.
1. J. K. Zhou, Differential Transformation and Its Application for Electrical Circuits, Huazhong University Press, Wuhan, China, 1986.
2. S. Momani, M. A. Noor, Numerical Comparison of Methods for Solving a Special Fourth-Order Boundary Value Problem, Applied Mathematics and Computation, 191 (1) (2007) 218–224.
3. I. A. H. Hassan, V. S. Erturk, Solutions of Different Types of the Linear and Nonlinear Higher-Order Boundary Value Problems by Differential Transformation Method, European Journal of Pure and Applied Mathematics 2 (3) (2009) 426–447.
4. C. H. Che Hussin, A. Kiliçman, On the Solutions of Nonlinear Higher-Order Boundary Value Problems by Using Differential Transformation Method and Adomian Decomposition Method, Mathematical problems in engineering (2011).
5. E. R. El-Zahar, Approximate Analytical Solutions of Singularly Perturbed Fourth Order Boundary Value Problems Using Differential Transform Method, Journal of king Saud university-science 25 (3) (2013) 257–265.
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