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

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.

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

10.31227/osf.io/tcfb4 ◽

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.

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

10.31227/osf.io/jqya9 ◽

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.

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

10.31227/osf.io/g9d4w ◽

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.

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Global continuum and multiple positive solutions to one-dimensional p-Laplacian boundary value problem

Advances in Difference Equations ◽

10.1186/s13662-020-02667-0 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Liping Wei ◽

Ruyun Ma

Keyword(s):

Boundary Value Problem ◽

Positive Solutions ◽

Boundary Value ◽

Multiple Positive Solutions ◽

One Dimensional

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

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171289000918 ◽

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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