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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.