TY - JOUR
ID - 16924
TI - Approximate solutions of inverse Nodal problem with conformable derivative
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Akbarpoor, Shahrbanoo
AU - Dabbaghian, Abdol Hadi
AD - Department of Mathematics, Jouybar Branch, Islamic Azad University, Jouybar, Iran.
AD - Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran.
Y1 - 2024
PY - 2024
VL - 12
IS - 3
SP - 610
EP - 623
KW - Inverse problem
KW - Conformable fractional
KW - Nodal Points
KW - Bernstein technique
KW - Numerical solution
DO - 10.22034/cmde.2023.56851.2380
N2 - Our research is about the Sturm-Liouville equation which contains conformable fractional derivatives of order $\alpha \in (0,1]$ in lieu of the ordinary derivatives. First, we present the eigenvalues, eigenfunctions, and nodal points, and the properties of nodal points are used for the reconstruction of an integral equation. Then, the Bernstein technique was utilized to solve the inverse problem, and the approximation of solving this problem was calculated. Finally, the numerical examples were introduced to explain the results. Moreover, the analogy of this technique is shown in a numerical example with the Chebyshev interpolation technique .
UR - https://cmde.tabrizu.ac.ir/article_16924.html
L1 - https://cmde.tabrizu.ac.ir/article_16924_219407085387722f9517ae85288fcddf.pdf
ER -