scholarly journals On the Use of Discrete Fourier Transform for Solving Biperiodic Boundary Value Problem of Biharmonic Equation in the Unit Rectangle

2017 ◽  
Author(s):  
Agah D. Garnadi
Keyword(s):  
Fourier Transform ◽  
Boundary Value Problem ◽  
Discrete Fourier Transform ◽  
Biharmonic Equation ◽  
Boundary Value ◽  
Periodic Sequence ◽  
One Dimensional

This note is addressed to solving biperiodic boundary value problem ofbiharmonic equation in the unit rectangle.First, we describe the necessary tools, which is discrete Fourier transform for one dimensional periodic sequence,and then extended the results to 2-dimensional biperiodic sequence.Next, we use the discrete Fourier transform 2-dimensional biperiodic sequenceto solve discretization of the biperiodic boundary value problem of Biharmonic Equation.

scholarly journals ON THE USE OF DISCRETE FOURIER TRANSFORM FOR SOLVING BIPERIODIC BOUNDARY VALUE PROBLEM OF BIHARMONIC EQUATION IN THE UNIT RECTANGLE

2003 ◽  
Vol 2 (2) ◽  
pp. 37
Author(s):  
A. D. GARNADI
Keyword(s):  
Fourier Transform ◽  
Boundary Value Problem ◽  
Discrete Fourier Transform ◽  
Biharmonic Equation ◽  
Boundary Value ◽  
Periodic Sequence ◽  
Trans Form ◽  
One Dimensional ◽  
Fourier Trans

This note is addressed to solving biperiodic boundary value problem of biharmonic equation in the unit rectangle. First, we describe the necessary tools, which is discrete Fourier trans- form for one dimensional periodic sequence, and then extended the results to 2-dimensional biperiodic sequence. Next, we use the discrete Fourier transform 2-dimensional biperiodic sequence to solve discretization of the biperiodic boundary value problem of Biharmonic Equation.

scholarly journals On the Use of Discrete Fourier Transform for Solving Biperiodic Boundary Value Problem of Polyharmonic Equation in the Unit Rectangle

2018 ◽  
Author(s):  
Agah D. Garnadi
Keyword(s):  
Fourier Transform ◽  
Boundary Value Problem ◽  
Discrete Fourier Transform ◽  
Boundary Value ◽  
Periodic Sequence ◽  
Polyharmonic Equation ◽  
One Dimensional

This note is addressed to solving biperiodic boundary value problem Polyharmonic equation in the unit rectangle.First, we describe the necessary tools, which is discrete Fourier transform for one dimensional periodic sequence,and then extended the results to 2-dimensional biperiodic sequence.Next, we use the discrete Fourier transform 2-dimensional biperiodic sequenceto solve discretization of the biperiodic boundary value problem of Polyharmonic Equation.

scholarly journals On the Use of Discrete Fourier Transform for Solving Biperiodic Boundary Value Problem of Triharmonic Equation in the Unit Rectangle

2018 ◽  
Author(s):  
Agah D. Garnadi
Keyword(s):  
Fourier Transform ◽  
Boundary Value Problem ◽  
Discrete Fourier Transform ◽  
Boundary Value ◽  
Periodic Sequence ◽  
One Dimensional

This note is addressed to solving biperiodic boundary value problem Triharmonic equation in the unit rectangle.First, we describe the necessary tools, which is discrete Fourier transform for one dimensional periodic sequence,and then extended the results to 2-dimensional biperiodic sequence.Next, we use the discrete Fourier transform 2-dimensional biperiodic sequenceto solve discretization of the biperiodic boundary value problem of Triharmonic Equation.

scholarly journals Uniqueness and stability of solutions for a type of parabolic boundary value problem

1989 ◽  
Vol 12 (4) ◽  
pp. 735-739
Author(s):  
Enrique A. Gonzalez-Velasco
Keyword(s):  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Nonnegative Solution ◽  
Boundary Value ◽  
Stability Of Solutions ◽  
General Boundary Conditions ◽  
Boundary Values ◽  
Parabolic Boundary ◽  
One Dimensional ◽  
The One

We consider a boundary value problem consisting of the one-dimensional parabolic equationgut=(hux)x+q, where g, h and q are functions of x, subject to some general boundary conditions. By developing a maximum principle for the boundary value problem, rather than the equation, we prove the uniqueness of a nonnegative solution that depends continuously on boundary values.

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