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

Related Articles

Automated Ultrasonic Measurements in Thin Samples

Pulse echo technique is widely used for ultrasonic velocity measurements in solids and liquids, but fails to measure ultrasonic velocity in thin samples. In such situations total reflection technique is extremely useful....

Application of Queuing Model in the Hospital Pharmacy Unit-A Case Study

The Objective Of This Study Was To Analyze Various Design Alternatives In Determining The Manpower Requirements Needed To Run A Hospital’s Pharmacy Unit Efficiently. Several Queuing Models Are Used For This Analysis. Thi...

Internet of Things (IoT) Based Alcohol Sensing and Accident Alert System

Nowadays, lots of accidents happened on highways as a result of an increase in traffic and put together as a result of rash driving of the drivers. Many accidents are happening as a result of the alcohol consumption of t...

Control of Single Inductor Multi Output DC-DC Converter in Continuous Conduction Mode

This paper presents the technique for the analysis and design of a new DC-DC multi output boost converter using which the output can be shared between different loads. The proposed converter can generate the voltage of a...

Effect of Exhaust Gas Recirculation on Performance and Emissions of a Modern Small Diesel Engine Fueled with Biodiesel-Kerosene Blends

The objective of this paper is to evaluate the effects of biodiesel blends with kerosene, with exhaust gas recirculation (EGR) on a diesel engine, and to compare performance and emission results with that of conventional...

Download PDF file
  • EP ID EP394185
  • DOI 10.9790/9622-0805016671.
  • Views 119
  • 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