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- W2183973306 abstract "Fragmentation equations occur naturally in many real world problems, see [ZM85, ZM86, HEL91,CEH91, HGEL96, SLLM00, Ban02, BL03, Ban04, BA06] and references therein. Mathematicalstudy of these equations is mostly concentrated on building existence and uniqueness theoriesand on qualitative analysis of solutions (shattering), some effort has be done in finding solutionsanalytically. In this project, we deal with numerical analysis of fragmentation equation withtransport. First, we provide some existence results in Banach and Hilbert settings, then we turnto numerical analysis. For this approximation and interpolation theory for generalized Laguerrefunctions is derived. Using these results we formulate Laguerre pseudospectral method andprovide its stability and convergence analysis. The project is concluded with several numericalexperiments." @default.
- W2183973306 created "2016-06-24" @default.
- W2183973306 creator A5003307486 @default.
- W2183973306 date "2012-01-01" @default.
- W2183973306 modified "2023-09-23" @default.
- W2183973306 title "Analysis and numerical solutions of fragmentation equation with transport." @default.
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