The equivalence group and invariant solutions of a tumour growth model
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences2004 (English)In: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, Vol. 9, no 1, 61-68 p.Article in journal (Refereed) PublishedAlternative title
The equivalence group and invariant solutions of a tumour growth model (Swedish)
Most of mathematical models describing spread of malignant tumours are formulated as systems of nonlinear partial differential equations containing, in general, several unknown functions of dependent variables. Determination of these unknown functions (called in group analysis arbitrary elements) is a complicated problem that challenges researchers. Our aim is to calculate the generators of the equivalence group for one of the known models and, using the equivalence generators, specify arbitrary elements, find additional symmetries and calculate group invariant solutions.
Place, publisher, year, edition, pages
The Netherlands: Elsevier , 2004. Vol. 9, no 1, 61-68 p.
Differential equations, Lie group analysis, invariant solutions
IdentifiersURN: urn:nbn:se:bth-8856Local ID: oai:bth.se:forskinfo393E1D7222CD9710C12573BE003A340COAI: oai:DiVA.org:bth-8856DiVA: diva2:836611