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2013•AIP conference proceedingsRequires access

On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs

Siti Ainor Mohd Yatim, Zarina Bibi İbrahim, Khairil Iskandar Othman, Mohamed Hammad Adam Suleiman

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Abstract

In this paper, we derive a second order Variable Step Variable Order Block Backward Differentiation Formulae (VSVO-BBDF (2)). This method pertains to the study of solving stiff Ordinary Differential Equations (ODEs) of second order (y"). The pertinent findings in term of total number of steps, accuracy and computational time are displayed and discussed through distinct tables.

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What this paper is about

In this paper, we derive a second order Variable Step Variable Order Block Backward Differentiation Formulae (VSVO-BBDF (2)). This method pertains to the study of solving stiff Ordinary Differential Equations (ODEs) of second order (y"). The pertinent findings in term of total number of steps, accuracy and computational time are displayed and discussed through distinct tables.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we derive a second order Variable Step Variable Order Block Backward Differentiation Formulae (VSVO-BBDF (2)). This method pertains to the study of solving stiff Ordinary Differential Equations (ODEs) of second order (y"). The pertinent findings in term of total number of steps, accuracy and computational time are displayed and discussed through distinct tables.

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

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