Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets
سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 60
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شناسه ملی سند علمی:
JR_CMDE-12-2_013
تاریخ نمایه سازی: 28 اسفند 1402
چکیده مقاله:
The presented paper investigates a new numerical method based on the characteristics of flatlet oblique multiwavelets for solving fractional Volterra integro-differential equations, in this method, first using the dual bases of the flatlet multiwavelets, the operator matrices are made for the derivative of fractional order and Volterra integral. Then, the fractional Volterra integro-differential equation reduces to a set of algebraic equations which can be easily solved. The error analysis and convergence of the presented method are discussed. Also, numerical examples will indicate the acceptable accuracy of the proposed method, which is compared with the methods used by other researchers.
کلیدواژه ها:
Flatlet oblique multiwavelets ، Fractional Volterra integro-differential equations ، Operational matrix ، Collocation method ، Biorthogonal system
نویسندگان
Zahra Shafinejhad
Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil, Iran.
Mohammad Zarebnia
Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil, Iran.