ABSTRACT
This study is concerned with overview numerical solution for nonlinear partial
dierential equations. Since it is not easily to iterate the numerical scheme
manually, C++ is used to encode the numerical scheme in order to nd the
numerical solution and Matlab is employed in drawing the gures.
Chapter one consists of Introduction of Nonlinear Partial Dierential equations,
Literature Review, Classication of Partial Dierential Equations, Examples of
PDEs, Boundary Conditions, Taylor Expansion, Solution of a Partial
Dierential Equations, Truncation Error, Research Objective, Signication of
the Study and Study Limitation.
Chapter two contains Formulas of Finite Dierence, 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.
Ndushi, L (2021). Overview Numerical Solutions For Nonlinear Partial Differential Equations With Applications. Afribary. Retrieved from https://track.afribary.com/works/overview-numerical-solutions-for-nonlinear-partial-differential-equations-with-applications
Ndushi, Lwenge "Overview Numerical Solutions For Nonlinear Partial Differential Equations With Applications" Afribary. Afribary, 25 Apr. 2021, https://track.afribary.com/works/overview-numerical-solutions-for-nonlinear-partial-differential-equations-with-applications. Accessed 27 Nov. 2024.
Ndushi, Lwenge . "Overview Numerical Solutions For Nonlinear Partial Differential Equations With Applications". Afribary, Afribary, 25 Apr. 2021. Web. 27 Nov. 2024. < https://track.afribary.com/works/overview-numerical-solutions-for-nonlinear-partial-differential-equations-with-applications >.
Ndushi, Lwenge . "Overview Numerical Solutions For Nonlinear Partial Differential Equations With Applications" Afribary (2021). Accessed November 27, 2024. https://track.afribary.com/works/overview-numerical-solutions-for-nonlinear-partial-differential-equations-with-applications