Overview numerical solutions for nonlinear partial differential equations with applications

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dc.contributor.authorNdushi, Lwenge
dc.date.accessioned2019-08-18T11:35:56Z
dc.date.available2019-08-18T11:35:56Z
dc.date.issued2015
dc.descriptionDissertations (MSc Mathematics)en_US
dc.description.abstractThis study is concerned with overview numerical solution for nonlinear partial differential equations. Since it is not easily to iterate the numerical scheme manually, C++ is used to encode the numerical scheme in order to find the numerical solution and Matlab is employed in drawing the figures. Chapter one consists of Introduction of Nonlinear Partial Differential equations, Literature Review, Classification of Partial Differential Equations, Examples of PDEs, Boundary Conditions, Taylor Expansion, Solution of a Partial Differential Equations, Truncation Error, Research Objective, Signification of the Study and Study Limitation. Chapter two contains Formulas of Finite Difference, Consistency, Stability and Convergence, Numerical scheme of Burgers' Equation, Sine Gordon Equation, Kortoweg-de Vries Equation, Gardner Equation and Fisher's Equation. Chapter three contains numerical and graphical results obtained by explicit scheme. In this chapter various examples of Burgers' equations, Sine Gordon Equation, Kortoweg-de Vries Equation, Gardner Equation and Fisher's Equation are discussed. Chapter four deals with Discussion, Conclusion and Recommendations.en_US
dc.identifier.citationNdushi, L. (2015). Overview numerical solutions for nonlinear partial differential equations with applications. Dodoma: The University of Dodomaen_US
dc.identifier.urihttp://hdl.handle.net/20.500.12661/805
dc.language.isoenen_US
dc.publisherThe University of Dodomaen_US
dc.subjectNumerical solutionsen_US
dc.subjectNonlinear differential equationsen_US
dc.subjectNonlinear equationsen_US
dc.subjectNonlinear modelsen_US
dc.subjectPartial differential equationsen_US
dc.subjectPDEen_US
dc.titleOverview numerical solutions for nonlinear partial differential equations with applicationsen_US
dc.typeDissertationen_US
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