A Numerical Algorithm for Solving Stiff Ordinary Differential Equations
An advanced method using block backward differentiation formula (BBDF) is introduced with efficient strategy in choosing the step size and order of the method. Variable step and variable order block backward differentiation formula (VSVO-BBDF) approach is applied throughout the numerical computati...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2012
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| Subjects: | |
| Online Access: | http://eprints.usm.my/38091/ http://eprints.usm.my/38091/1/A_Numerical_Algorithm_for_Solving_Stiff_Ordinary_Differential_Equations.pdf |
| Summary: | An advanced method using block backward differentiation formula (BBDF) is introduced with efficient strategy in choosing the step
size and order of the method. Variable step and variable order block backward differentiation formula (VSVO-BBDF) approach is
applied throughout the numerical computation.The stability regions of the VSVO-BBDFmethod are investigated and presented in
distinct graphs.The improved performances in terms of accuracy and computation time are presented in the numerical results with
different sets of test problems. Comparisons are made between the proposed method and MATLAB’s suite of ordinary differential
equations (ODEs) solvers, namely, ode15s and ode23s. |
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