a numerical scheme for solving nonlinear backward parabolic problems

نویسندگان

a. zakeri

q. jannati

a. amiri

چکیده

‎in this paper a nonlinear backward parabolic problem in one‎ ‎dimensional space is considered‎. ‎using a suitable iterative‎ ‎algorithm‎, ‎the problem is converted to a linear backward parabolic‎ ‎problem‎. ‎for the corresponding problem‎, ‎the backward finite‎ ‎differences method with suitable grid size is applied‎. ‎it is shown‎ ‎that if the coefficients satisfy some special conditions‎, ‎this‎ ‎algorithm not only is convergent‎, ‎but also is conditionally‎ ‎stable‎. ‎moreover‎, ‎it is proved that the estimated values converge‎ ‎to the exact solution of the problem‎. ‎al these‎ ‎approaches examined in some numerical examples. corresponding‎ ‎theorems for the convergency and stability of the solution are‎ ‎studied‎.

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عنوان ژورنال:
bulletin of the iranian mathematical society

ناشر: iranian mathematical society (ims)

ISSN 1017-060X

دوره 41

شماره 6 2015

میزبانی شده توسط پلتفرم ابری doprax.com

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