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Wavelets and Lie Symmetry Analysis of Solutions
Partial Di�erential Equations
Asaph Keikara Muhumuza
Department of Mathematics, Makerere University
Division of Mathematics, The School of Culture andCommunication (UKK), M�alardalen University, P. O Box
883, 721 23, V�aster�as, Sweden.
First Network Meeting for Sida- and ISP-funded PhD Students in
Mathematics
Stockholm 7{8 March 2017
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My Supervisors
Sergei Silvestrov Anatoliy Malyalenko Milica Rancic
Main Supervisor Assistant Supervisor Assistant Supervisor
Maladalen University Maladalen University Maladalen University
John Mango akuba Godwin
Assistant Supervisor Assistant Supervisor
Makerere University Makerere University
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Research Topic: Wavelets and Lie Symmetry Analysis of
Solutions Partial Di�erential Equations
Research will focus on the development of new mathematical
methods and computational algorithms for wavelets and Lie
symmetry analysis and application of these methods to solutions of
di�erential and di�erence equations arising in bioinformatics,
computational electromagnetics and �nancial engineering
applications.
Numerical solutions of boundary value problems for Partial
di�erential equations by method relying on compactly supported
Wavelet approximation and application of Wavelets and Lie
symmetries to the solutions of Navier-Stokes type equations and
other non-linear equations will be investigated.
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Example
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Applications of My Research
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Tack s�a mycket!
Thank you!
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