Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On Exact and Numerical Solutions to the Burgers' and Coupled Burgers' Equation
View through CrossRef
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 tables of some obtained results are constructed with the help of the computational program in the Wolfram Mathematica. All the solutions found in this study validate the efficiency of the method. According to the results, we have found out that our gained solutions convergence very speedily to the analytical solutions. In conclusion, we can say that the present method can also be applied for the solutions of a wide range of nonlinear problems.
Title: On Exact and Numerical Solutions to the Burgers' and Coupled Burgers' Equation
Description:
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 tables of some obtained results are constructed with the help of the computational program in the Wolfram Mathematica.
All the solutions found in this study validate the efficiency of the method.
According to the results, we have found out that our gained solutions convergence very speedily to the analytical solutions.
In conclusion, we can say that the present method can also be applied for the solutions of a wide range of nonlinear problems.
Related Results
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...
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...
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...
Explicit Exact Solutions of the (2+1)-Dimensional Integro-Differential Jaulent–Miodek Evolution Equation Using the Reliable Methods
Explicit Exact Solutions of the (2+1)-Dimensional Integro-Differential Jaulent–Miodek Evolution Equation Using the Reliable Methods
In this article, we utilize the G′/G2-expansion method and the Jacobi elliptic equation method to analytically solve the (2 + 1)-dimensional integro-differential Jaulent–Miodek equ...
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...
The waveform comparison of three common-used fractional viscous acoustic wave equations
The waveform comparison of three common-used fractional viscous acoustic wave equations
Abstract
The forward simulation of the viscous acoustic wave equation is an essential part of geophysics and energy resources exploration research. The viscous acoustic sei...
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...
Explicit Numerical Manifold Characteristic Galerkin Method for Solving Burgers’ Equation
Explicit Numerical Manifold Characteristic Galerkin Method for Solving Burgers’ Equation
This paper presents a nonstandard numerical manifold method (NMM) for solving Burgers’ equation. Employing the characteristic Galerkin method, we initially apply the Crank–Nicolson...