Volume 27, Issue 4
The Improved Modified Decomposition Method for the Treatment of Systems of Singular Nonlinear Partial Differential Equations with Initial Conditions

Nemat Dalir & S. Salman Nourazar

J. Part. Diff. Eq., 27 (2014), pp. 357-372.

Published online: 2014-12

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  • Abstract
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.
  • Keywords

Systems of singular nonlinear PDEs initial conditions IMDM inverse operators

  • AMS Subject Headings

35F25, 35G25, 35C10, 35A20, 35Q35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

dalir@aut.ac.ir (Nemat Dalir)

icp@aut.ac.ir (S. Salman Nourazar)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-27-357, author = {Dalir , Nemat and Nourazar , S. Salman}, title = {The Improved Modified Decomposition Method for the Treatment of Systems of Singular Nonlinear Partial Differential Equations with Initial Conditions}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {4}, pages = {357--372}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n4.6}, url = {http://global-sci.org/intro/article_detail/jpde/5148.html} }
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.
Nemat Dalir & S. Salman Nourazar. (2019). The Improved Modified Decomposition Method for the Treatment of Systems of Singular Nonlinear Partial Differential Equations with Initial Conditions. Journal of Partial Differential Equations. 27 (4). 357-372. doi:10.4208/jpde.v27.n4.6
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