An Investigation Of A New Class Of Linear Finite Difference Operators To Be Used In Solution Of Partial Differential Equations - Info and Reading Options
By Dias, Gerald Frietas
"An Investigation Of A New Class Of Linear Finite Difference Operators To Be Used In Solution Of Partial Differential Equations" and the language of the book is English.
“An Investigation Of A New Class Of Linear Finite Difference Operators To Be Used In Solution Of Partial Differential Equations” Metadata:
- Title: ➤ An Investigation Of A New Class Of Linear Finite Difference Operators To Be Used In Solution Of Partial Differential Equations
- Author: Dias, Gerald Frietas
- Language: English
“An Investigation Of A New Class Of Linear Finite Difference Operators To Be Used In Solution Of Partial Differential Equations” Subjects and Themes:
- Subjects: Mechanical engineering - Finite difference - Biharmonic operator - Partial differential equations
Edition Identifiers:
- Internet Archive ID: aninvestigationo1094515054
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"An Investigation Of A New Class Of Linear Finite Difference Operators To Be Used In Solution Of Partial Differential Equations" Description:
The Internet Archive:
A new technique for constructing \"computational molecules\" for linear finite difference operators is developed. The basic approach is one of approximating a two dimensional surface with a geometrically consistent interpolating polynomial of degree four or five. The desired finite differences operator is then developed from the polynomial. the resulting molecules are geometrically consistent and may be used to solve boundary value problems without the use of fictitious points. Molecules for the biharmonic operator with various boundary conditions included are presented in this paper, as well as molecules representing the boundary conditions for shear and moment along the free edge of a plate. The integrity of the molecules presented is proven by comparisons of solutions for flat plate bending problems by finite difference with exact solutions from the literature. Convergence plots for each problem are also presented.
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- Internet Archive Link: Archive.org page
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- Number of Files: 22
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- Added Date: 2020-11-19 10:38:28
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