%0 Journal Article %T How to obtain Lie point symmetries of PDEs %A Kadhim, Sajid Mohammad %A Mohammad, Mayada Gassab %A Jassim, Hassan Kamil %J Journal of Mathematics and Computer Science %D 2021 %V 22 %N 4 %@ ISSN 2008-949X %F Kadhim2021 %X In this research, we have studied how to obtain Lie point symmetries of a partial differential equation (PDEs) of second order. We have also studied some PDEs' applications as one-dimensional and two-dimensional heat equations. We have used Manale's formula for solving second-order ordinary differential equations to determine new symmetries. Burgers equation has been studied, and Lie point symmetries have been obtained for these equations. %9 journal article %R 10.22436/jmcs.022.04.01 %U http://dx.doi.org/10.22436/jmcs.022.04.01 %P 306--324 %0 Book %T A Lie Symmetry analysis of the heat equation through modified one-parameter local point transformation %A C. M. Adams %D 2014 %I Doctoral Dissertation (University of South Africa) %C South Africa %F Adams2014 %0 Book %T Lie Algebras and Representation Theory %A C. Andreas %D 2009 %I Universitat Wien %C Nordbergstr %F Andreas2009 %0 Book %T Symmetry Analysis of Differential Equations %A D. J. Arrigo %D 2015 %I John Wiley & Sons %C Hoboken %F Arrigo2015 %0 Journal Article %T Lie Symmetry Reductions of a Coupled KdV System of Fractional Order %A M. Azadi %A H. Jafari %J Nonlinear Dyn. Syst. Theory %D 2018 %V 18 %F Azadi2018 %0 Journal Article %T A novel approach for Korteweg-de Vries equation of fractional order %A D. Baleanu %A H. K. Jassim %J J. Appl. Comput. Mech. %D 2019 %V 5 %F Baleanu2019 %0 Journal Article %T A Modification Fractional Variational Iteration Method for solving Nonlinear Gas Dynamic and Coupled KdV Equations Involving Local Fractional Operators %A D. Baleanu %A H. K. Jassim %A H. Khan %J Thermal Sci. %D 2018 %V 22 %F Baleanu2018 %0 Journal Article %T Some recent researches on the motion of fluids %A H. Bateman %J Monthly Weather Review %D 1915 %V 43 %F Bateman1915 %0 Book %T Symmetry and Integration Methods for Differential Equations %A G. W. Bluman %A S. C. Anco %D 2002 %I Springer %C New York %F Bluman2002 %0 Book %T Symmetries and differential equations %A G. W. Bluman %A S. Kumei %D 1989 %I Springer-Verlag %C New York %F Bluman1989 %0 Book %T A mathematical model illustrating the theory of turbulence %A J. M. Burgers %D 1948 %I Academic Press %C New York %F Burgers1948 %0 Book %T Second Course in Ordinary Differential Equations for Scientists and Engineers %A M. Humi %A W. Miller %D 1988 %I Springer-Verlag %C New York %F Humi1988 %0 Book %T Hydon symmetry methods for differential equation: a beginners guide %A P. E. Hydon %D 2000 %I Cambridge university press %C Cambridge %F Hydon2000 %0 Book %T Elementary Lie Group Analysis and Ordinary Differential Equations %A N. H. Ibragimov %D 1999 %I John Wiley & Sons %C Chichester %F Ibragimov1999 %0 Journal Article %T Reduced Differential Transform and Variational Iteration Methods for 3D Diffusion Model in Fractal Heat Transfer within Local Fractional Operators %A H. Jafari %A K. H. Jassim %A J. Vahidi %J Thermal Sci. %D 2018 %V 22 %F Jafari2018 %0 Journal Article %T Fractional Lie group method of the time-fractional Boussinesq equation %A H. Jafari %A N. Kadkhoda %A D. Baleanu %J Nonlinear Dynam. %D 2015 %V 8 %F Jafari2015 %0 Journal Article %T Application of Lie Symmetry Analysis and Simplest Equation Method for Finding Exact Solutions of Boussinesq Equations %A H. Jafari %A N. Kadkhoda %A C. M. Khalique %J Math. Probl. Eng. %D 2013 %V 2013 %F Jafari2013 %0 Journal Article %T Analytical Approximate Solutions for Local Fractional Wave Equations %A H. K. Jassim %J Math. Methods Appl. Sci. %D 2020 %V 43 %F Jassim2020 %0 Journal Article %T Fractional variational iteration method for solving the hyperbolic telegraph equation %A H. K. Jassim %A W. A. Shahab %J J. Phys. Conf. S. %D 2018 %V 1032 %F Jassim2018 %0 Journal Article %T New Symmetries of the heat equation and application to thin plate heat conduction %A J. M. Manale %J In Proceedings of the 2013 International Conference on Mathematics and Computation (Venice, Italy) %D 2013 %V 2013 %F Manale2013 %0 Book %T The Classification of Delay Differential Equations Using Lie Symmetry Analysis %A L. Muhsen %D 2016 %I Doctoral dissertation (Universiti Teknologi Malaysia) %C Malaysia %F Muhsen2016 %0 Book %T Linear and nonlinear waves %A G. B. Whitham %D 2011 %I John Wiley & Sons %C New York %F Whitham2011