TY - JOUR
T1 - The Improved Modified Decomposition Method for the Treatment of Systems of Singular Nonlinear Partial Differential Equations with Initial Conditions
AU - Dalir , Nemat
AU - Nourazar , S. Salman
JO - Journal of Partial Differential Equations
VL - 4
SP - 357
EP - 372
PY - 2014
DA - 2014/12
SN - 27
DO - http://doi.org/10.4208/jpde.v27.n4.6
UR - https://global-sci.org/intro/article_detail/jpde/5148.html
KW - Systems of singular nonlinear PDEs
KW - initial conditions
KW - IMDM
KW - inverse operators
AB -  New developed inverse differential operators incorporated into the semianalytical treatment of the modified decomposition method (MDM) are used to solve the systems of first and second-order singular nonlinear partial differential equations (PDEs) with initial conditions arising in physics. The new proposed method is called the improved modified decomposition method (IMDM), and is used to the treatment of a few case study initial-value problems. The results obtained by the IMDM are in full agreement with the existing exact analytical solutions.