# Symmetry for Initial Boundary Value Problems of PDEs

@article{Jassim2019SymmetryFI, title={Symmetry for Initial Boundary Value Problems of PDEs}, author={Aldhlki T. Jassim}, journal={journal of the college of basic education}, year={2019}, volume={25}, pages={178-194} }

Aldhlki T. Jassim Dep. of MathsCollege of Basic Education University of Mustansirya, Baghdad, Iraq talatjassim10@yahoo.com Abstract In this paper, we discuss the reduction of IBVP by using the definition of Bluman or Ibragimov. Moreover, some examples that explain this definition for linear and nonlinear heat equation, are given. Next, we will give some restrictions on the Lie symmetry, which make the initial-boundary conditions are invariant. Finally, we find an initial condition which…

## References

SHOWING 1-10 OF 29 REFERENCES

### The Blasius Function: Computations Before Computers, the Value of Tricks, Undergraduate Projects, and Open Research Problems

- MathematicsSIAM Rev.
- 2008

Although the Blasius flow solves a nonlinear partial differential equation (PDE), Toepfer successfully computed highly accurate numerical solutions in 1912, and it is shown that PDE numerical studies were possible even in the precomputer age.

### Invariant boundary value problems for a fourth-order dynamic Euler-Bernoulli beam equation

- Mathematics
- 2012

We obtain the complete Lie symmetry group classification of the dynamic fourth-order Euler-Bernoulli partial differential equation, where the elastic modulus, the area moment of inertia are constants…

### Introduction to Symmetry Analysis

- Mathematics
- 2002

Preface 1. Introduction to symmetry 2. Dimensional analysis 3. Systems of ODE's, first order PDE's, state-space analysis 4. Classical dynamics 5. Introduction to one-parameter Lie groups 6. First…

### Boundary value problems for integrable equations compatible with the symmetry algebra

- Mathematics
- 1995

Boundary value problems for integrable nonlinear partial differential equations are considered from the symmetry point of view. Families of boundary conditions compatible with the Harry‐Dym, KdV, and…

### A new method for solving boundary value problems for partial differential equations

- MathematicsComput. Math. Appl.
- 2011

### Similarity Analysis of Boundary Value Problems with Finite Boundaries

- Mathematics
- 1985

It is commonly believed that similarity analysis of boundary value problems in science and engineering is domain-and-boundary condition limited, in that semi-infinite or infinite domains are…

### Group analysis of ordinary differential equations and the invariance principle in mathematical physics (for the 150th anniversary of Sophus Lie)

- Mathematics
- 1992

CONTENTSPrefaceChapter I. Definitions and elementary applications §1.1. One-parameter transformation groups §1.2. Prolongation formulae §1.3. Groups admissible by differential equations §1.4.…

### Solution of Ordinary Differential Equations by Continuous Groups

- Mathematics
- 2000

BACKGROUND Introduction Continuous One-Parameter Group-I Group Concept Infinitesimal Transformation Global Group Equations Problems Method of Characteristics Theory Examples Problems Continuous…