Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Numerical study of homotopy‐perturbation method applied to Burgers equation in fluid
View through CrossRef
AbstractIn this article, the problem of Burgers equation is presented and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. Comparison is made between the HPM and Exact solutions. The obtained solutions, in comparison with the exact solutions, admit a remarkable accuracy. A clear conclusion can be drawn from the numerical results that the HPM provides highly accurate numerical solutions for nonlinear differential equations. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010
Title: Numerical study of homotopy‐perturbation method applied to Burgers equation in fluid
Description:
AbstractIn this article, the problem of Burgers equation is presented and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem.
Comparison is made between the HPM and Exact solutions.
The obtained solutions, in comparison with the exact solutions, admit a remarkable accuracy.
A clear conclusion can be drawn from the numerical results that the HPM provides highly accurate numerical solutions for nonlinear differential equations.
© 2009 Wiley Periodicals, Inc.
Numer Methods Partial Differential Eq 2010.
Related Results
Fish Burgers Fortified with Microencapsulated Sacha Inchi Oil: Effects on Technological and Sensory Properties
Fish Burgers Fortified with Microencapsulated Sacha Inchi Oil: Effects on Technological and Sensory Properties
The long-chain omega-3 fatty acids alpha linolenic acid (ALA), eicosapentaenoic acid (EPA), and docosahexaenoic acid (DHA) have proven health benefits, but it is not common to find...
Describing the statistics of turbulent flow by using the principle of maximum entropy
Describing the statistics of turbulent flow by using the principle of maximum entropy
<p>Burgers and Onsager were pioneers in using statistical mechanics in the theory of turbulent fluid motion. Their approach was, however, rather different. Whereas On...
On Exact and Numerical Solutions to the Burgers' and Coupled Burgers' Equation
On Exact and Numerical Solutions to the Burgers' and Coupled Burgers' Equation
In this work, one dimensional Burgers' equation and coupled Burgers' equation are solved via Homotopy perturbation method (HPM). Solutions two and three-dimensional graphics and ta...
Homotopy theory of homotopy algebras
Homotopy theory of homotopy algebras
This paper studies the homotopy theory of algebras and homotopy algebras over an operad. It provides an exhaustive description of their higher homotopical properties using the more...
Efficient Solution of Burgers’, Modified Burgers’ and KdV–Burgers’ Equations Using B-Spline Approximation Functions
Efficient Solution of Burgers’, Modified Burgers’ and KdV–Burgers’ Equations Using B-Spline Approximation Functions
This paper discusses the application of the orthogonal collocation on finite elements (OCFE) method using quadratic and cubic B-spline basis functions on partial differential equat...
Similarity Solutions for Shallow Hydraulic Fracture in Impermeable Rock
Similarity Solutions for Shallow Hydraulic Fracture in Impermeable Rock
ABSTRACT
The paper deals with the plane strain problem ofa shallow fluid-driven fracture propagating parallel to a free surface in an impermeable elastic rock. Fo...
Effects of Some Simpilfying Assumptions On Interpretation of Transient Data
Effects of Some Simpilfying Assumptions On Interpretation of Transient Data
Abstract
The fluid flows in porous medium is described by the diffusion type of partial differential equation. In deriving the flow equation for the constant comp...
Perturbed solution and analyses for single photon transmission equation in optical fiber
Perturbed solution and analyses for single photon transmission equation in optical fiber
As is well known, quantum optics has developed significantly in recent years and advanced several hot research topics, such as quantum communications, quantum sensing, quantum calc...