Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel
This thesis concerns mainly in deriving new 2-point and 3-point block methods for solving a single equation of first order ODE directly using constant step size in both explicit and implicit methods. These methods, which calculate the numerical solution at more than one point simultaneously, are...
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| Main Author: | |
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| Format: | Thesis |
| Language: | English English |
| Published: |
2000
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| Subjects: | |
| Online Access: | http://psasir.upm.edu.my/id/eprint/11408/1/FSAS_2000_6.pdf |
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| Summary: | This thesis concerns mainly in deriving new 2-point and 3-point block
methods for solving a single equation of first order ODE directly using constant
step size in both explicit and implicit methods. These methods, which calculate the
numerical solution at more than one point simultaneously, are suitable for parallel
implementations.The programs of the methods employed are run on a shared
memory Sequent Symmetry SE30 parallel computer. The numerical results show
that the new methods reduce the total number of steps and execution time.The
accuracy of the parallel block and I-point methods is comparable particularly when
finer step size are used.The stability of the new methods also had been
investigated. |
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