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Solution of non-linear Klein–Gordon equation with a quadratic non-linear term by Adomian decomposition method
Authors:Kartik Chandra Basak  Pratap Chandra Ray  Rasajit Kumar Bera
Institution:1. Department of Mathematics, Malaviya National Institute of Technology, Jaipur 302017, Rajasthan, India;2. Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India;3. Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia;4. Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, India;1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing 100876, China;2. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, China;3. Department of Physics, Chemistry and Mathematics, Alabama A & M University, Normal, AL 35762, USA;4. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;5. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;6. Department of Applied Mathematics, National Nuclear Research University, 31 Kashirskoe Shosse, Moscow 115409, Russian Federation
Abstract:Non-linear PDEs are systematically solved by the decomposition method of Adomian for general boundary conditions described by boundary operator equations. In the present case the solution of the non-linear Klein–Gordon equation has been considered as an illustration of the decomposition method of Adomian.
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