Numerical approximations to solutions of inverse problems for parabolic differential equations

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dc.creatorHamad, Hamad Makame
dc.date2019-08-18T09:06:23Z
dc.date2019-08-18T09:06:23Z
dc.date2015
dc.date.accessioned2021-05-06T12:58:59Z
dc.date.available2021-05-06T12:58:59Z
dc.descriptionDissertation (MSc Mathematics)
dc.descriptionPresent work is concerned with solved a coefficient inverse problem of one-dimensional parabolic equation by a higher-order compact finite difference method and we used this a fourth order efficient numerical method to calculate the function u (x; t) and the unknown coefficient a (t) in a parabolic partial differential equation. Also discussed the accuracy and efficiency of the fourth order finite difference formula compare with other finite difference methods such as FTCS explicit scheme, Crank-Necolson algorithm and Back ward time central space scheme. Results show that an excellent estimation on the unknown functions of the inverse problem can be obtained and the fourth order method developed in this work is well-balanced in stability, efficiency and accuracy.
dc.identifierHamad, H. M. (2015). Numerical approximations to solutions of inverse problems for parabolic differential equations. Dodoma: The University of Dodoma
dc.identifierhttp://hdl.handle.net/20.500.12661/761
dc.identifier.urihttp://hdl.handle.net/20.500.12661/761
dc.languageen
dc.publisherThe University of Dodoma
dc.subjectDifferential equations
dc.subjectParabolic differential equations
dc.subjectInverse problems
dc.subjectBack ward time central space scheme
dc.subjectCrank-Necolson algorithm
dc.subjectNumerical solutions
dc.subjectCoefficient inverse problem
dc.titleNumerical approximations to solutions of inverse problems for parabolic differential equations
dc.typeDissertation

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