Numerical Solution of Klein–Gordon and Sine-Gordon Equations Using the Numerical Method of Gridless Lines

Abstract

Over The Past 30 Years, Analytical, Laboratory And Numerical Studies Have Been Carried Out On The Equations With A Soliton Response, And Several Nonlinear Equations With Similar Characteristics Were Presented. Using The Mathematical Model Of The One-Dimensional Nonlinear Klein-Gordon Equation And The Sin-Gordon Two-Dimensional Equations By Using Meshless Lines Using Radial Basis Functions, Data Analysis Has Been Done. The Results Of The Research, As Well As Discussion Of The Results, Are Presented And, After A General Conclusion, Express The Limitations That The Researchers Encountered During The Implementation Of This Research. Ultimately, Suggestions In The Form Of Scientific And Applied Offers Are Presented.

Authors and Affiliations

Mehrzad Ghorbani, Saeid Saki

Keywords

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  • EP ID EP394185
  • DOI 10.9790/9622-0805016671.
  • Views 126
  • Downloads 0

How To Cite

Mehrzad Ghorbani, Saeid Saki (2018). Numerical Solution of Klein–Gordon and Sine-Gordon Equations Using the Numerical Method of Gridless Lines. International Journal of engineering Research and Applications, 8(5), 66-71. https://europub.co.uk/articles/-A-394185