A robust numerical method to find the solutions of time-fractional Klein-Gordon equation

نویسندگان
Bunay Guaman, Jorge Sebastian ID 1
Shather, Akram H. ID 2
Abdul Kareem, Nihad ID 3
Sreseh, Saleh Naji ID 4
Fialos, Juan Jose Flores ID 5
Abdul Hussein, Abbas Hameed ID 6
Diaa, Nabaa Muhammad ID 7
Khalid, Mohammed ID 8

1 Facultad de Mecánica, Escuela Superior Politécnica de Chimborazo (ESPOCH), Riobamba 060106, Ecuador.

2 Department of Power and Control Engineering, Technical College of Engineering, Sulaimani Polytechnic University, Sulaimani, Kurdistan Region, Iraq.

3 Al-Farahidi university, Iraq.

4 Department of Nursing, Al-Zahrawi University College, Karbala, Iraq.

5 Universidad Nacional de Chimborazo (UNACH), Riobamba, Chimborazo 060106, Ecuador.

6 Ahl Al Bayt University Kerbala Iraq.

7 College of Construction Engineering \& Project Management, Al-Noor University, Mosul, Iraq.

8 College of Science, Department of Forensic Sciences, National University of Science and Technology, Dhi Qar, 64001, Iraq.

doi
10.22034/cmde.2024.63968.2876
چکیده

Ara Awhant meriamrihod is poposed to approwince the a of time-fractional Klein-Gordon quation (TFKC) which based on the Lowenta The racted tod namely nady the fictitious tane zabegration metho (PTIM) omerte the undetermined dependent une new ariable with ens dienas w Then the gopis imgile mented to integrate the new fractional partial differential equation. The of zamenical experiments are displaved te afina the socuracy and efficener d the presented scheme.

کلیدواژه‌ها
Fictitious time integration technique, Group preserving technique, Time fractional Klein-Gordon equation, Caputo derivative