Open AccessApproximate Solution of 2-Dimensional VO Linear Fractional Partial Differential Equation
Author(s) -
Nabaa N. Hasan,
Omar H. Salim
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1879/3/032020
Subject(s) - mathematics , spline (mechanical) , fractional calculus , trigonometric functions , trigonometric polynomial , polynomial , partial differential equation , partial derivative , mathematical analysis , trigonometry , variable (mathematics) , order (exchange) , geometry , structural engineering , engineering , finance , economics
The non-polynomial spline method has been used to solving 2-dimensional variable-order(VO) fractional partial differential equations (FPDE). For VO fractional derivative, described in the sense of the Caputo. The main objective of this study and advantage of the proposed method is to investigate a public approximation for the frequency of the trigonometric functions of the non-polynomial part of the spline function. The powerful algorithm of the proposed method gives high accuracy results.