Diagonally Implicit Runge–Kutta Type Method for Directly Solving Special Fourth-Order Ordinary Differential Equations with Ill-Posed Problem of a Beam on Elastic Foundation

Diagonally Implicit Runge–Kutta Type Method for Directly Solving Special Fourth-Order Ordinary Differential Equations with Ill-Posed Problem of a Beam on Elastic Foundation

In this study, fifth-order and sixth-order diagonally implicit Runge–Kutta type (DIRKT) techniques for solving fourth-order ordinary differential equations (ODEs) are derived which are denoted as DIRKT5 and DIRKT6, respectively. The first method has three and the another one has four ident...

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Bibliographic Details
Main Authors: Nizam Ghawadri, Norazak Senu, Firas Adel Fawzi, Fudziah Ismail, Zarina Bibi Ibrahim
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Algorithms
Subjects:
diagonally implicit Runge–Kutta type methods
fourth-order ODEs
initial value problem
Online Access:http://www.mdpi.com/1999-4893/12/1/10

Internet

http://www.mdpi.com/1999-4893/12/1/10

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