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Iterative Differential Quadrature Solutions for Bratu Problem
Faculty
Engineering
Year:
2017
Type of Publication:
ZU Hosted
Pages:
Authors:
Ola Ragab Abdou Mohamed
Staff Zu Site
Abstract In Staff Site
Journal:
Computers and Mathematics with Applications Elsevier Journal
Volume:
Keywords :
Iterative Differential Quadrature Solutions , Bratu Problem
Abstract:
A numerical scheme based on differential quadrature methods, is introduced for solving Bratu problem. The problem reduced to an iterative one. Then, both of differential quadrature method (DQM) and moving least squares differential quadrature method (MLSDQM) are applied to solve iteratively the nonlinear problem. The proposed scheme successfully detects multiple solutions to Bratu’s problem. The obtained results are agreed with the previous analytical ones. Further a parametric study is introduced to investigate the computational characteristics of the proposed scheme.
Author Related Publications
Ola Ragab Abdou Mohamed, "Analysis of Composite Plates Using Moving Least Squares Differential Quadrature Method", Science Direct, 2014
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Ola Ragab Abdou Mohamed, "Efficient Quadrature Solution for Composite Plate Problems", medwelljournals, 2014
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Ola Ragab Abdou Mohamed, "Quadrature Analysis of Functionally Graded Materials", IJET-IJENS, 2014
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Ola Ragab Abdou Mohamed, "Natural frequencies of a functionally graded cracked beam using the differential quadrature method", Science Direct, 2009
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Ola Ragab Abdou Mohamed, "Vibration analysis of structural elements using differential quadrature method", Cairo University, 2012
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Department Related Publications
Salwa Amien Mohamed ebrhiem, "Adaptive FAS-Multigrid Method for Nonlinear Elliptic Equations on Unstructured Grids", لايوجد, 1900
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Amr Mohamed Salaheldeen Abdelaziem Mohamed, "Evaluation o Green's unction derivatives or exponentially graded elasticity", لايوجد, 1900
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Salwa Amien Mohamed ebrhiem, "Optimally efficient multigrid algorithms for incompressible Euler equations", Emerald Group Publishing Limited, 2008
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Salwa Amien Mohamed ebrhiem, "Adaptive FAS-multigrid method for nonlinear elliptic equations on unstructured grids", Wiley InterScience, 2007
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Rania Bahgat Mohamed Amer, "An Efficient Method To Solve Thermal Wave Equations", Published by Scientific Research Publishing, 2014
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