A reliable numerical algorithm for the fractional klein-gordon equation

• Autorzy: Singh Harendra , Kumar Devendra , Singh Jagdev , Singh C.S.

Identyfikatory

DOI

10.24423/EngTrans.910.20190214

• Języki publikacji: EN

Abstrakty

EN

The key purpose of the present work is to introduce a numerical algorithm for the solution of the fractional Klein-Gordon equation (FKGE). The numerical algorithm is based on the applications of the operational matrices of the Legendre scaling functions. The main advantage of the numerical algorithm is that it reduces the FKGE into Sylvester form of algebraic equations which significantly simplify the problem. Numerical results derived by using suggested numerical scheme are compared with the exact solution. The results show that the suggested algorithm is very user friendly for solving FKGE and accurate.

Słowa kluczowe

EN

fractional Klein-Gordon equation; legendre scaling functions; operational matrices

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2019
• Tom: Vol. 67, iss. 1
• Strony: 21--34
• Opis fizyczny: Bibliogr. 41 poz., tab., wykr.

Twórcy

autor

Singh Harendra

• Department of Mathematics, Post Graduate College Ghazipur U. P.-233001, India

autor

Kumar Devendra

• Department of Mathematics, University of Rajasthan Jaipur 302004, Rajasthan, India

autor

Singh Jagdev

• Department of Mathematics, JECRC University Jaipur 303905, Rajasthan, India

autor

Singh C.S.

• Department of Mathematics Lok Nayak Jai Prakash Institute of Technology NH-19, Chhapra, Bihar 841302, India

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