Higher order difference formulas for a fourth order parabolic partial differential equation | Zendy

Jain M. K. | Zendy; Iyengar S. R. K. | Zendy; Lone A. G. | Zendy

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Higher order difference formulas for a fourth order parabolic partial differential equation

Author(s) -

Jain M. K.,

Iyengar S. R. K.,

Lone A. G.

Publication year - 1976

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620100614

Subject(s) - partial differential equation , mathematics , order (exchange) , ftcs scheme , parabolic partial differential equation , mathematical analysis , space (punctuation) , differential equation , finite difference method , first order partial differential equation , transverse plane , partial derivative , ordinary differential equation , computer science , engineering , structural engineering , differential algebraic equation , finance , economics , operating system

In this paper, we have derived some new higher order difference formulas for the solution of a fourth order parabolic partial differential equation governing transverse vibrations of a uniform flexible beam in one and two space dimensions using Richtmyer's approach and a direct approach. Two examples illustrate the utility of the new difference methods.

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