Solution of Differential Equations by Three Semi-Analytical Techniques

Solution of Differential Equations by Three Semi-Analytical Techniques

In this work, we present some semi-analytical techniques namely Differential Transform Method (DTM), Adomian Decomposition Method (ADM) and Homotopy Perturbation Method (HPM) for the solution of differential equations. The equations considered include initial value problems and boundary value problems. The results indicated that DTM is easy to apply but requires transformation, while ADM does...
 
Published at International Journal of Applied Engineering Research
Volume 10
Issue 18
Pages 39168-39174
Published in 2015
 
 
visit (http://www.ripublication.com/Volume/ijaerv10n18.htm)
 
 
A. A. Opanuga, O. O. Agboola, H. I. Okagbue, J. G. Oghonyon
Agboola O. OlaOluwa » Dr. O. Olaoluwa Agboola obtained Bachelor of Science Education (First Class Hons.) and Master of Science degrees from the University of Ilorin, Ilorin, Nigeria. He bagged Doctor of Philosophy (Ph.D) degree in Industrial Mathematics from Covenant University, Ota, Nigeria, where he equally teaches undergraduate and graduate courses in Mathematics. His research interests are in Mechanics of Solids... view full profile
Agboola O. OlaOluwa
 
Other publications by this author (view profile)
 
 
Free Vibration Analysis of Euler-Bernoulli beam using differential transformation method
 
Dynamic analysis of railway tracks supported by Winkler foundation under uniform partially distributed moving railway vehicle.
 
Analysis of torsional rigidity of circular beams with different engineering materials subjected to St. Venant torsion
 
Existence, uniqueness and stability of a mild solution of Lipschitzian Quantum Stochastic differential equations
 
Dynamic response of an inclined railway bridge supported by Winkler foundation under a moving railway vehicle
 
Approximate Solution of Multipoint Boundary Value Problems
 
Solution of Third Order Ordinary Differential Equations Using Differential Transformation Method
 
On a hybrid numerical algorithm for the solutions of higher order ordinary differential equations
 
A Computational Approach in Estimating the Amount of Pond Pollution and Determining the Long Time Behavioural Representation of Pond Pollution Model
 
Adopting a Variable Step Size Approach in Implementing Implicit Block Multi-Step Method for Non-Stiff Ordinary Differential Equations
 
Differential Transform Technique for Higher Order Boundary Problems
 
K-Step Block Predictor-Corrector Methods for Solving First-Order Ordinary Differential Equations
 
Minimizing Carbon Emissions from Transportation Projects in Sub-Saharan Africa Cities Using Mathematical Model: A Focus on Lagos, Nigeria
 
Vibration of an Elastically Connected Nonprismatic Double-beam System Using Differential Transform Method
 
Finite Difference Method and Laplace Transform for Boundary Value Problems
 
Application of Homotopy Perturbation and Modified Adomian Decomposition Methods for Higher Order Boundary Value Problems
 
Variational Iteration Method for Natural Frequencies of a Cantilever Beam with Special Attention to the Higher Modes
 
Irreversibility Analysis of a Radiative MHD Poiseuille Flow through Porous Medium with Slip Condition
 
Effects of Some Structural Parameters on the Vibration of a Simply Supported Non-prismatic Double-beam System
 
Natural frequencies of an Euler-Bernoulli Beam With Special Attention to the higher modes via Variational Iteration Method
 
Semi-analytical methods for Higher Order Boundary Value Problems
 
Analysis of hall effects on the entropy generation of natural convection flow through a vertical microchannel
 
Dynamic Response of Two Viscoelastically Connected Rayleigh Beams Subjected to Concentrated Moving Load
 
Radiation and viscous dissipation effects for the Blasius and Sakiadis flows with a convective surface boundary condition
 
Dynamic Behaviour of a double Rayleigh Beam-System due to uniform partially distributed Moving Load
 
On existence of solution for impulsive Perturbed Quantum Stochastic differential equations and the associated Kurzweil equations
 
Heat and mass transfer for Soret and Dufour’s effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid in the presence of magnetic field