Existence and uniqueness of the solution to nonlocal problem for a loaded parabolic equation and its numerical approximation

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dc.creatorMataru, Bilali
dc.date2019-09-05T11:49:18Z
dc.date2019-09-05T11:49:18Z
dc.date2018
dc.date.accessioned2021-05-06T12:58:59Z
dc.date.available2021-05-06T12:58:59Z
dc.descriptionDissertation (MSc Mathematics)
dc.descriptionThis research presents the existence and uniqueness of a solution to nonlocal problem for a loaded parabolic equation. The nonlocal condition of first kind is expressed to its equivalent nonlocal condition of second kind, which is necessary for qualitative study about the solvability of the problem. The theoretical analysis of study on existence and uniqueness of a generalized solution to a nonlocal problem is studied using Galerkin method, apriori method to obtain the approximate size of solution, numbers of inequalities and Gronwall’s lemma. The numerical approximation of the problem is obtained by using homotopy analysis method, where the initial base function is determined by using initial condition.
dc.identifierMataru, B. (2018). Existence and uniqueness of the solution to nonlocal problem for a loaded parabolic equation and its numerical approximation. Dodoma: The University of Dodoma
dc.identifierhttp://hdl.handle.net/20.500.12661/1758
dc.identifier.urihttp://hdl.handle.net/20.500.12661/1758
dc.publisherThe University of Dodoma
dc.subjectNumerical approximation
dc.subjectParabolic equation
dc.subjectNonlocal problem
dc.subjectLoaded parabolic equation
dc.subjectParabolic
dc.subjectEquation
dc.subjectNumerical equation
dc.titleExistence and uniqueness of the solution to nonlocal problem for a loaded parabolic equation and its numerical approximation
dc.typeDissertation

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