Solving a nonlinear Singular Cauchy Problem of Euler- Poisson-Darboux Equation through Homotopy Perturbation Method

Document Type: Research Paper

Author

Department of Electrical Engineering, Shomal University, Amol, Iran, P. O. Box 753 and Department of Electrical Engineering, South Dakota State University, Brookings, USA

Abstract

In this paper, we have applied He’s homotopy perturbation method (HPM) to solve a nonlinear Singular Cauchy Problem of Euler-Poisson-Darboux Equation. The solution of the problem is much simplified and shorter to arriving at the solution as compared to the technique applied by Carroll and Showalter in the solution of Singular Cauchy Problem. The results are compared with those obtained HPM and exact solutions. The results homotopy perturbation method (HPM) are of high concentration and the method is very effective and succinct.  

Keywords

References

Carroll R, Showalter R, 1976. " Singular and Degenerate Cauchy Problems". Academic Press, New York.
Delves LM, Mohamed JL, 1988. Computational methods for integral equations, Cambridge University Press.
Euler L,”Institiones Calculi Integralis, III”. Petroli, 1770.
Amir Yaghoubi Nezhad, S. H., Atefeh Mehrabi Far, Masoumeh Piryaei, Seyed Mojtaba Mostafavi. (2019). Investigation of Shigella Lipopolysaccharides Effects on Immunity Stimulation of Host Cells. International Transaction Journal of Engineering, Management, Applied Sciences and Technologies, 10, 465.
Ceisil, U. (2018). E-Awareness of University Student through Smart Phones and Developing Social Networks. Journal of Humanities Insights, 02(03), 139-145. doi:10.22034/JHI.2018.70850
Jinadu, O., Oluwafemi, S., Soyinka, M., & Akanfe, K. (2017). Effects of International Financial Reporting Standards (IFRS) on Financial Statements Comparability of Companies. Journal of Humanities Insights, 01(01), 12-16. doi:10.22034/JHI.2017.59551
Mehrabifar, A., & Rahmati, M. (2017). Investigation of Anticancer Effects of Dacarbazine Hydrogel in the Injectable Form and its Release. MedBioTech Journal, 01(01), 15-21. doi:10.22034/MBT.2017.60333
Mostafavi, S. M., Bagherzadeh, K., & Amanlou, M. (2017). A new attempt to introduce efficient inhibitors for Caspas-9 according to structure-based Pharmacophore Screening strategy and Molecular Dynamics Simulations. MedBioTech Journal, 01(01), 1-8. doi:10.22034/mbt.2017.60325
Seyed Mojtaba Mostafavi1, H. M., & Taskhiri, M. S. (2019). In Silico Prediction of Gas Chromatographic Retention Time of Some Organic Compounds on the Modified Carbon Nanotube Capillary Column. Journal of Computational and Theoretical Nanoscience, 16(151), 156.
Seyed Mojtaba Mostafavi, A. R., Mina Adibi, Farshid Pashaee, Masoumeh Piryaei. (2011). Modification of Glassy Carbon Electrode by a Simple, Inexpensive and Fast Method Using an Ionic Liquid Based on Immidazolium as Working Electrode in Electrochemical Determination of Some Biological Compounds. Asian Journal of Chemistry, 23(12).
Z. Man, A. G. E., S. M. Mostafavi,, & Surendar, A. (2019). Fuel oil characteristics and applications: economic and technological aspects. Petroleum Science and Technology.
Shakeri F, Dehghan M, 2008. Solution of delay differential equations via a homotopy perturbation method, Mathematical and Computer Modelling. 48: 486-498.
Medbiotech Journal

Volume 03, Issue 02
Spring 2019
Pages 29-34

Files

History

  • Receive Date: 26 March 2018
  • Revise Date: 26 April 2018
  • Accept Date: 26 May 2019

Share

How to cite

Statistics