Legendre Ritz-Least squares method for the numerical solution of delay differential equations of the multi-pantograph type

سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 134

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شناسه ملی سند علمی:

JR_JMCS-5-1_003

تاریخ نمایه سازی: 11 فروردین 1403

چکیده مقاله:

This paper is concerned with a Legendre Ritz-Least squares technique for the non-singular and singular delay differential equations (DDEs) of multi-pantograph type. This tech-nique is based on Legendre polynomials and Least squares. The Legendre Ritz-Least squarestechnique (LRLS) is used to decrease the problem to a set of the algebraic equation system.The efficiency and reliability of the proposed method are shown by some numerical results. Allof the numerical implementations have been performed on a PC using some programs written inMATHEMATICA.

نویسندگان

Meisam Noei Khorshidi

Department of Mathematics, Shahid Beheshti University,G.C., Tehran, Iran.

Mohammad Arab Firoozjaee

Department of Mathematics, University of Science and Technology of Mazandaran, Behshahr, Iran

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