A New Transformation Method for Solving High-Order Boundary Value Problems

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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of New Theory 2022-09 (40), p.90-100
Main Authors: YÜCEL, Merve, MUHTAROV, Fahreddin, MUKHTAROV, Oktay
Format: Article
Language:English
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2149-1402
DOI:10.53570/jnt.1171760