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About nonlinear delay integral equations and numerical solution of differential equations

Author: SunChunXue
Tutor: ZhangRan
School: Jilin University
Course: Computational Mathematics
Keywords: Nonlinear delay integral equations Nonlinear Differential Equations Collocation method Variational iteration method
CLC: O241.8
Type: Master's thesis
Year: 2011
Downloads: 50
Quote: 0
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Abstract


In this paper, two types of nonlinear delay EQUATION studied. Chapter for a Class of Nonlinear Delay Volterra integral equations , analytic solution of the equation is given existence and uniqueness of proof and using the configuration method to solve this equation gives the corresponding matrix representation of numeric format to prove the existence of solutions of the configuration resistance and convergence, and the theoretical results of numerical experiments to be corroborated. Chapter II for a class of nonlinear delay differential equations, using the variational iteration method, iterative solution given sequence , and prove the convergence of iterative solution sequence , and finally through numerical experiments verify the theoretical results .

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations
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