Title |
NETIESINĖS DIFUZIJOS DIFERENCIALINĖS LYGTIES KAI KURIE SPRENDINIAI / |
Translation of Title |
Some of the solutions of nonlinear differential equations. |
Authors |
Gudaitienė, Irma |
Full Text |
|
Pages |
75 |
Keywords [eng] |
solutions ; nonlinear ; differential ; equation |
Abstract [eng] |
Some of the solutions of nonlinear differential equations. Summary Objective. Find-specific solutions, and codify them. Objectives of the study. • Solving linear diffusion differential equations using automodeling variable method; • Solve two-dimensional linear parabolic equations using numerical methods; • Analyze each approach; • Compare the results and justify each of them; • Provide suggestions and recommendations for further research. In the first part of the work a non-linear parabolic equation was investigated . We received the following analytical equation expressed by polynomials with integer solutions , when . In the second part found nonlinear differential diffusion equation’s some solutions to any positive diffusion coefficient of the concentration exponent . These solutions are found automodeling variable method. |
Type |
Master thesis |
Language |
Lithuanian |
Publication date |
2010 |