2018-02-21T22:29:18Z
http://cmde.tabrizu.ac.ir/?_action=export&rf=summon&issue=463
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
4
Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems
Rahmat
Ali Khan
Aziz
Khan
In this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-Laplacian fractional order differential equations. We use Schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. We include some examples to show the applicability of our results.
Fractional differential equations
Three point boundary conditions
Fixed point theorems
P-Laplacian operator
2014
10
01
205
215
http://cmde.tabrizu.ac.ir/article_3138_d0d51e21fca62f083313ef3d8e8382a6.pdf
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
4
The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations
Ahmad Hasan
Arnous
Mohammad
Mirzazadeh
Mostafa
Eslami
In this paper, we establish new exact solutions for some complex nonlinear wave equations. The B"{a}cklund transformation method of Riccati equation is used to construct exact solutions of the Hamiltonian amplitude equation and the coupled Higgs field equation. This method presents a wide applicability to handling nonlinear wave equations. These equations play a very important role in mathematical physics and engineering sciences. Obtained solutions may also be important of significance for the explanation of some practical physical problems.
Complex nonlinear wave equations
exact solutions
B"{a}cklund transformation method of Riccati equation
2014
10
01
216
226
http://cmde.tabrizu.ac.ir/article_3316_ee955e00f9d31c2df0030b5e9eb6adc2.pdf
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
4
Topological soliton solutions of the some nonlinear partial differential equations
Ozkan
Guner
In this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave equations. Solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Note that, this method is always useful and desirable to construct exact solutions especially soliton-type envelope for the understanding of most nonlinear physical phenomena.
Exact solution
topological soliton solution
the (3+1)-dimensional shallow water wave equation
the symmetric regularized long wave (SRLW) equation
2014
10
01
227
242
http://cmde.tabrizu.ac.ir/article_3169_3e9ca9ba1422f83c2e9e20459cfdf8e4.pdf
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
4
Generalized B-spline functions method for solving optimal control problems
Yousef
Edrisi Tabriz
Aghileh
Heydari
In this paper we introduce a numerical approach that solves optimal control problems (OCPs) using collocation methods. This approach is based upon B-spline functions. The derivative matrices between any two families of B-spline functions are utilized to reduce the solution of OCPs to the solution of nonlinear optimization problems. Numerical experiments confirm our heoretical findings.
Optimal control problem
B-spline functions
Derivative matrix
Collocation method
2014
10
01
243
255
http://cmde.tabrizu.ac.ir/article_3772_469ce62234092e58427d577e03b4b0d4.pdf
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
4
Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations
Mohammad
Mehdizadeh Khalsaraei
Reza
Shokri Jahandizi
Systems in which reaction terms are coupled to diffusion and advection transports arise in a wide range of chemical engineering applications, physics, biology and environmental. In these cases, the components of the unknown can denote concentrations or population sizes which represent quantities and they need to remain positive. Classical finite difference schemes may produce numerical drawbacks such as spurious oscillations and negative solutions because of truncation errors and may then become unstable. we propose a new scheme that guarantees a smooth numerical solution, free of spurious oscillations and satisfies the positivity requirement, as is demanded for the advection-diffusion reaction equations. The method is applicable to both advection and diffusion dominated problems. We give some examples from different applications.
Nonstandard finite differences
positivity
Advection-diffusion reaction equation
M-matrix
2014
10
01
256
267
http://cmde.tabrizu.ac.ir/article_3583_bfed57f3653505f17e60608b463669be.pdf
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
4
Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations
Mohammadreza
Ahmadi Darani
Shirin
Bagheri
The construction of fractional type of flatlet biorthogonal multiwavelet system is investigated in this paper. We apply this system as basis functions to solve the fractional differential and integro-differential equations. Biorthogonality and high vanishing moments of this system are two major properties which lead to the good approximation for the solutions of the given problems. Some test problems are discussed at the end of paper to show the efficiency of the proposed method.
Integro-differential equations
fractional type of flatlet oblique multiwavelets
biorthogonal flatlet multiwavelet system
2014
10
01
268
282
http://cmde.tabrizu.ac.ir/article_3834_bb3f883a1e0a93f9f79e70f8f6790c93.pdf