The numerical solution of the parabolic integrro-differential equations

TL;DRAbstract

This thesis is concerned with aspects of the numerical solution of parabolic integrodifferential equations and it consists of two parts. The first part is concerned with project preliminaries. The second part is concerned with the central theme of this thesis — the numerical solution of parabolic integro-differential equations.
\n
\nThe first part of the thesis ( chapters 2 and 3 ) deals with aspects of background knowledge in Numerical Analysis, with emphasis on the numerical solutions of ordinary differential equations (ODEs for short) and efficient numerical solution techniques for systems of one-dimensional linear parabolic partial differential equations (PDEs for short). In particular, we use both comprehensive and sophisticated mathematical software packages and libraries to get the most reliable, robust and efficient numerical routines for solving ODEs and PDEs.
\n
\nIn the second part of the thesis, some numerical methods for the solution of integrodifferentia

Chat with Paper

AI Agents for this Paper