TY - JOUR AU - Verma, Anjali AU - Jiwari, Ram AU - Koksal, Mehmet Emir PY - 2014 DA - 2014/08/20 TI - Analytic and numerical solutions of nonlinear diffusion equations via symmetry reductions JO - Advances in Difference Equations SP - 229 VL - 2014 IS - 1 AB - In this article, the authors study analytic and numerical solutions of nonlinear diffusion equations of Fisher’s type with the help of classical Lie symmetry method. Lie symmetries are used to reduce the equations into ordinary differential equations (ODEs). Lie group classification with respect to time dependent coefficient and optimal system of one-dimensional sub-algebras is obtained. Then sub-algebras are used to construct symmetry reduction and analytic solutions. Finally, numerical solutions of nonlinear diffusion equations are obtained by using one of the differential quadrature methods. SN - 1687-1847 UR - https://doi.org/10.1186/1687-1847-2014-229 DO - 10.1186/1687-1847-2014-229 ID - Verma2014 ER -