COMPARISON BETWEEN TAYLOR AND PERTURBED METHOD FOR VOLTERRA INTEGRAL EQUATION OF THE FIRST KIND
dc.contributor.author | Noui Djaidja | |
dc.contributor.author | Mostefa Nadir | |
dc.date.accessioned | 2021-03-03T10:40:58Z | |
dc.date.available | 2021-03-03T10:40:58Z | |
dc.date.issued | 2020 | |
dc.description.abstract | As it is known the equation A' = f with injective compact oper- ator has a unique solution for all f in the range R(A):Unfortunately, the right- hand side f is never known exactly, so we can take an approximate data f and used the perturbed problem ' + A' = f where the solution ' depends continuously on the data f ; and the bounded inverse operator ( I + A)1 approximates the unbounded operator A1 but not stable. In this work we obtain the convergence of the approximate solution of ' of the perturbed equation to the exact solution ' of initial equation provided tends to zero with p : | en_US |
dc.identifier.uri | http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/23987 | |
dc.publisher | Université de M'sila | en_US |
dc.title | COMPARISON BETWEEN TAYLOR AND PERTURBED METHOD FOR VOLTERRA INTEGRAL EQUATION OF THE FIRST KIND | en_US |
dc.type | Article | en_US |