2012International Conference on Applied and Computational MathematicsRequires access

Variable Step 3-point Block Backward Differentiation Formulas for Solving Stiff ODEs

Naghmeh Abasi, Mohamed Suleiman, Zarina Bibi İbrahim, Hamisu Musa, Faranak Rabiei

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Abstract

This paper derives 3-point Block Backward Differentiation Formulas (BBDF) using variable step size for solving stiff Ordinary Differential Equations (ODEs). Three solution values are obtained simultaneously at each step. The efficiency of the 3-point block BDF is compared with variable step variable order BDF (VSVO). Numerical results are favorable.

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What this paper is about

This paper derives 3-point Block Backward Differentiation Formulas (BBDF) using variable step size for solving stiff Ordinary Differential Equations (ODEs). Three solution values are obtained simultaneously at each step. The efficiency of the 3-point block BDF is compared with variable step variable order BDF (VSVO). Numerical results are favorable.

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Available abstract

This paper derives 3-point Block Backward Differentiation Formulas (BBDF) using variable step size for solving stiff Ordinary Differential Equations (ODEs). Three solution values are obtained simultaneously at each step. The efficiency of the 3-point block BDF is compared with variable step variable order BDF (VSVO). Numerical results are favorable.

Key concepts: Mathematics, Variable (mathematics), Ode, Ordinary differential equation, Block (permutation group theory), Backward differentiation formula, Point (geometry), Applied mathematics

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