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An Analysis Of Stability And Convergence of A Finite-Difference Methods for One-Dimensional Partial Integro-Differential Equation Using A Moving Mesh

SANGARE Boureima, DIALLO Ouateni, SOME Longin


This papers is devoted to an analysis of stability and convergence of finite-difference discretizations of a partial integro-differential equation in 1D using a moving mesh. We present some results about finite-difference discretization using a Moving Mesh like as results about backward Euler scheme and accumulation of the quadrature error principe. Failures and successes of the method used applied to three partial integro-differential problems are explained via an analysis of the stability and accuracy of the finite-difference discretization moving mesh PDE.


Partial Differential Equations (PDEs), Moving Mesh Methods, Finite Difference Methods (FDMs), Stability and Convergence.

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