Use of modified equation to examine the stability of upstream differencing scheme for initial value problems

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dc.contributor.authorMuhammad Farhan Tabassum
dc.date.accessioned2018-10-23T05:38:27Z
dc.date.available2018-10-23T05:38:27Z
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 Wave Equation arises in the construction of characteristic surfaces for hyperbolic partial differential equations, in the calculus of variations, in some geometrical problems and in simple modals for gas dynamics, whose solution involves the method of characteristics. Accuracy and stability of Upstream Scheme is checked by using Modified Differential Equations [MDE’s].en_US
dc.identifier.citationTahir.Ch, N.A.Shahid, M.F.Tabassum, Sana, A., & S.Nazir. (2015). Use of Modified Equation to Examine the Stability of Upstream Differencing Scheme for Initial Value Problems. Science International,27(3), 2031-2034. (Muhammad Farhan Tabassum)(HEC Recognized Y Category)en_US
dc.identifier.issn1013-5316
dc.identifier.urihttps://escholar.umt.edu.pk/handle/123456789/3383
dc.language.isoenen_US
dc.publisherScience International,27(3)en_US
dc.subjectMathematicsen_US
dc.subjectAccuracy, Stability, Modified Equation, Dispersive error, Upstream Differencing Schemeen_US
dc.titleUse of modified equation to examine the stability of upstream differencing scheme for initial value problemsen_US
dc.typeArticleen_US
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