Analysis of stability and accuracy for forward time centered space approximation by using modified equation

dc.contributor.authorTahir Ch
dc.contributor.authorN.A. Shahid
dc.contributor.authorM.F. Tabassum
dc.contributor.authorA. Sana
dc.contributor.authorS.Nazir
dc.date.accessioned2016-10-04T13:09:12Z
dc.date.available2016-10-04T13:09:12Z
dc.date.issued2015
dc.description.abstractIn this paper we investigate the quantitative behavior of a wide range of numerical methods for solving linear partial differential equations [PDE’s]. In order to study the properties of the numerical solutions, such as accuracy, consistency, and stability, we use the method of modified equation, which is an effective approach.To determine the necessary and sufficient conditions for computing the stability, we use a truncated version of modified equation which helps us in a better way to look into the nature of dispersive as well as dissipative errors. The heat equation with Drichlet Boundary Conditions can serve as a model for heat conduction, soil consolidation, ground water flow etc.Accuracy and Stability of Forward Time Centered Space (FTCS) scheme is checked by using Modified Differential Equation [MDE].en_US
dc.identifier.urihttps://escholar.umt.edu.pk/handle/123456789/2008
dc.publisherScience Internationalen_US
dc.subjectAccuracyen_US
dc.subjectStabilityen_US
dc.subjectModified Equationen_US
dc.subjectDispersive erroren_US
dc.subjectForward Time Center Space Schemeen_US
dc.titleAnalysis of stability and accuracy for forward time centered space approximation by using modified equationen_US
dc.typeArticleen_US
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