AI SearchRecent software for solving partial differential equations
Call Number: AIT Thesis no. CA-81-12 Material type:
SeriesSeries: Asian Institute of Technology. Thesis ; no. CA-81-12Publication details: Bangkok : Asian Institute of Technology, 1981Description: iv, 67 pSubject(s): Online resources: Dissertation note: Thesis (M.Eng.) - Asian Institute of Technology, 1981 Summary: This thesis provides a comparative appraisal of certain computer algorithms for time dependent, one dimensional partial differential equations (PDE). Two available numerical codes for PDE are evaluated and compared on the basis of how well they solve a set of PDE of varying characteristics under a variety of options available. These codes PDEONE/LSODE and PDECOL implement three point finite difference and collocation methods respectively. They were installed on the AIT Regional Computer Center IBM 3031 for performance testing. The results show that PDECOL performs better than PDEONE/LSODE in terms of solution cost, including computer time and storage, and its ability to produce solutions at various tolerances using a variety of collocation orders. In particular, the average solution cost for PDEONE/ LSODE is significantly larger than for PDECOL. A User Guide to the codes is included.
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Asian Institute of Technology Library AIT Publications | AIT Thesis no. CA-81-12 (Browse shelf(Opens below)) | 1 | Available | 30050003145744 | |||||||||||||
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20-AIT Publication
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Asian Institute of Technology Library AIT Publications | AIT Thesis no. CA-81-12 (Browse shelf(Opens below)) | 2 | Available | 30050003145736 | |||||||||||||
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Asian Institute of Technology Library Archives | AIT Thesis no. CA-81-12 (Browse shelf(Opens below)) | Available | 30050160065503 |
A thesis submitted in partial fulfilment of the requirements for the degree of Master of Engineering, School of Engineering and Technology
Thesis (M.Eng.) - Asian Institute of Technology, 1981
This thesis provides a comparative appraisal of certain computer algorithms for time dependent, one dimensional partial differential equations (PDE). Two available numerical codes for PDE are evaluated and compared on the basis of how well they solve a set of PDE of varying characteristics under a variety of options available. These codes PDEONE/LSODE and PDECOL implement three point finite difference and collocation methods respectively. They were installed on the AIT Regional Computer Center IBM 3031 for performance testing. The results show that PDECOL performs better than PDEONE/LSODE in terms of solution cost, including computer time and storage, and its ability to produce solutions at various tolerances using a variety of collocation orders. In particular, the average solution cost for PDEONE/ LSODE is significantly larger than for PDECOL. A User Guide to the codes is included.
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