One -Leg Hybrid Methods for Solving ODEs and DAEs

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 5, Issue 2

Abstract

This paper introduces one-leg hybrid methods for solving ordinary differential equations (ODEs) and differential algebraic equations (DAEs). The order of convergence of these methods are determined and compared to the order of convergence of their twin hybrid multistep methods. The G-stability of these methods are studied. Finally, the methods are tested by solving DAEs.

Authors and Affiliations

Iman Ibrahim, Fatma Yousry

Keywords

Related Articles

On a-Kenmotsu manifolds satisfying flatness conditions

The main interest of the present paper is to study α-Kenmotsu manifolds that satisfy some certain tensor conditions where a is a smooth function defined by dα∧η=0 on Mⁿ. In particular, the flatness conditions of a...

Equivalent Identities on Semirings

In this paper mainly we have obtained equivalent conditions on semirings, regular semirings and Idempotent semirings.

Active Control of a Non-Linear Ship model with External and Parametric Excitation

The response of a ship model with non-linearly coupled pitch and roll modes under modulated external and parametric solved and studied. The active control is applied to reduce the vibration of the system . The method of...

2016 ALGEBRAIC PROOF FERMAT'S LAST THEOREM (2-18)

In 1995, A, Wiles [2], [3], announced, using cyclic groups ( a subject area which was not available at the time of Fermat), a proof of Fermat's Last Theorem, which is stated as fol-lows: If is an odd prime and x; y; z; a...

A New Technique to Solve the Instant Insanity Problem

Instant Insanity [1] consists of four cubes, each of whose six faces are colored with one of the four colors: red, blue, white, and green. The object is to stack the cubes in such a way that each of the four co...

Download PDF file
  • EP ID EP651317
  • DOI 10.24297/jam.v5i2.3686
  • Views 176
  • Downloads 0

How To Cite

Iman Ibrahim, Fatma Yousry (2014). One -Leg Hybrid Methods for Solving ODEs and DAEs. JOURNAL OF ADVANCES IN MATHEMATICS, 5(2), 711-722. https://europub.co.uk/articles/-A-651317