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A SPECTRAL METHOD FOR A CLASS OF NONLINEAR QUASI-PARABOLIC EQUATIONS 被引量:1

A SPECTRAL METHOD FOR A CLASS OF NONLINEAR QUASI-PARABOLIC EQUATIONS
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摘要 In this paper, we consider the numerical solution of quasi-parabolic equations of higher order by a spectral method, and propose a computational formula. We give an error estimate of approximate solutions, and prove the convergence of the approximate method and numerical stability on initial values. Under certain conditions, which are much weaker than the conditions in [6], we gain the same convergence rate as in [6]. In this paper, we consider the numerical solution of quasi-parabolic equations of higher order by a spectral method, and propose a computational formula. We give an error estimate of approximate solutions, and prove the convergence of the approximate method and numerical stability on initial values. Under certain conditions, which are much weaker than the conditions in [6], we gain the same convergence rate as in [6].
出处 《Journal of Computational Mathematics》 SCIE CSCD 1994年第1期88-97,共10页 计算数学(英文)
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