A (alpha) – stable methods for solving Initial Value Problems of Ordinary Differential Equations,

A (alpha) – stable methods for solving Initial Value Problems of Ordinary Differential Equations,

~ 320de0db0d07f9f7aebb6b57ce10c56b.200x200
An A(alpha)-stable implicit one step hybrid method for the numerical approximation of solutions of initial value problems of general second order ordinary differential equations is proposed. The method is developed by interpolation and collocation of a power series approximate solution and implemented as simultaneous integrators via block method. The stability and convergence of the methods are...
 
Published at Advances in Differential equations and control Processes
Volume 13
Issue 1
Pages 21-35
Published in 2014
 
Download 483.62 kB
 
 
 
Timothy Anake, Sheila A. Bishop, Adetola O. Adesanya and Michael C. Agarana
AGARANA Michael » Dr. Agarana, Michael is currently a lecturer of Mathematics at Covenant University. He had his first degree from the prestigious University of Nigeria, Nsukka. He holds two masters degrees in Mathematics and Research from the University of Lagos. He earned his Ph.D in mathematics, specializing in Rigid Dynamics,from the University of Ilorin. His current research interest areas include;... view full profile
AGARANA Michael
 
Other publications by this author (view profile)
 
 
On a Block Integrator for the solution of First Order Ordinary Differential Equations.
 
Block Algorithm for General Third order Ordinary Differential Equations
 
Dynamic Analysis of Railway bridges supported by Winkler Foundation under Uniform Partially Distributed Moving Railway Vehicle.
 
Torsional Rigidity of Beams of Given Areas with Different Cross - Sections
 
An Application of Goal programming Technique to Loan Portfolio Management in the Banking Industry.
 
Application of Linear Programming Model to Unsecured Loans and Bad Debt Risk Control in Banks
 
Optimization of Bank Loan Portfolio Management using Goal Programming Technique
 
A Diagnostic Treatment of Unconstrained Optimization Problems via a Modified Armijo line search technique
 
Existence, Uniqueness and stability of Mild Solution of Lipschitzian Quantum Stochastic Di erential Equations
 
Suppressed Fluctuation in The GABAergic Signalling: Mathematical Modelling of The Neurotransmitter
 
Application of Unified Number to Temperature Profiles of Pipe Walls and Fluids using Mathematical Experimentation
 
Quantitative Analysis of Equilibrium Solution and Stability for Non-linear Differential Equation Governing Pendulum Clock