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

SOLUTION OF THE LARGE MINIMUM COMPLIANCE PROBLEM USING BILEVEL OPTIMIZATION

The topology optimization problem have a great industrial interest. Using the subdomains method, we have formulated the decomposed topology optimization problem as a bilevel one. In this paper, we reformulate our bilevel...

Tri-generative Stochastic Model of Population Growth

This paper investigates the population growth of a certain species in which every generation reproduces twice. First we probe the cases of 100% regeneration. We find that the population stabilizes for all the case althou...

Quasiregular mapping that preserves plane

Quasiregular mappings are a natural generalization of analytic functions to higher dimensions. Quasiregular mappings have many properties. Our work in this paper is to prove the following theorem: If f  a b is a qu...

Oscillation Criteria for Third-Order Nonlinear Delay Difference Equations

In this paper, we are concerned with oscillation of a class of third-order nonlinear delay difference equation of the form     We establish some new oscillation criteria by transforming this equation...

Stability of Fibonacci Functional Equation

In this paper, we solve the Fibonacci functional equation, f(x)=f(x-1)+f(x-2) and discuss its generalized Hyers-Ulam-Rassias stability in Banach spaces and stability in Fuzzy normed space.

Download PDF file
  • EP ID EP651317
  • DOI 10.24297/jam.v5i2.3686
  • Views 172
  • 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