- Journal of New Theory
- Issue: 40
- A New Transformation Method for Solving High-Order Boundary Value Problems
A New Transformation Method for Solving High-Order Boundary Value Problems
Authors : Merve Yücel, Fahreddin Muhtarov, Oktay Mukhtarov
Pages : 90-100
Doi:10.53570/jnt.1171760
View : 14 | Download : 7
Publication Date : 2022-09-30
Article Type : Research
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.Keywords : Differential transform method, Boundary Value Problem, Approximate solution