Variable Step 3-point Block Backward Differentiation Formulas for Solving Stiff ODEs
Naghmeh Abasi, Mohamed Suleiman, Zarina Bibi İbrahim, Hamisu Musa, Faranak Rabiei
Abstract
Naghmeh Abasi, Mohamed Suleiman, Zarina Bibi İbrahim, Hamisu Musa, Faranak Rabiei
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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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