In consideration of a hereditary non linear partial differential equation, for which we previously established an existence theorem [Atti Sem. Mat. Fis. Univ. Modena 29 (1980), no. 1, 166-186], we prove that a suitable discretization of E. Baiada's approximation method gives a numerical approximation of the exact solution, in the same range where this method provides the solution. The convergence rate is estimated.
Epsilon-approximate solutions for hereditary non linear partial differential equations
BRANDI, Primo;CEPPITELLI, Rita
1985
Abstract
In consideration of a hereditary non linear partial differential equation, for which we previously established an existence theorem [Atti Sem. Mat. Fis. Univ. Modena 29 (1980), no. 1, 166-186], we prove that a suitable discretization of E. Baiada's approximation method gives a numerical approximation of the exact solution, in the same range where this method provides the solution. The convergence rate is estimated.File in questo prodotto:
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