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An Investigation Of A New Class Of Linear Finite Difference Operators To Be Used In Solution Of Partial Differential Equations. by Dias%2c Gerald Firetas

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1An Investigation Of A New Class Of Linear Finite Difference Operators To Be Used In Solution Of Partial Differential Equations

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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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  • Title: ➤  An Investigation Of A New Class Of Linear Finite Difference Operators To Be Used In Solution Of Partial Differential Equations
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 88.37 Mbs, the file-s for this book were downloaded 82 times, the file-s went public at Thu Nov 19 2020.

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2An Investigation Of A New Class Of Linear Finite Difference Operators To Be Used In Solution Of Partial Differential Equations.

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Thesis (M.S. in M.E.)--Naval Postgraduate School, 1970

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  • Title: ➤  An Investigation Of A New Class Of Linear Finite Difference Operators To Be Used In Solution Of Partial Differential Equations.
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  • Language: en_US,eng

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The book is available for download in "texts" format, the size of the file-s is: 43.62 Mbs, the file-s for this book were downloaded 130 times, the file-s went public at Mon Oct 05 2015.

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3An Investigation Of A New Class Of Linear Finite Difference Operators To Be Used In Solution Of Partial Differential Equations.

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Thesis (M.S. in M.E.)--Naval Postgraduate School, 1970

“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:
  • Language: en_US

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The book is available for download in "texts" format, the size of the file-s is: 105.34 Mbs, the file-s for this book were downloaded 201 times, the file-s went public at Mon Apr 09 2012.

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