TY - JOUR
T1 - OPERATIONAL MATRICES FOR SOLVING A CLASS OF VARIABLE-ORDER PARTIAL DIFFERENTIAL EQUATIONS
AU - Zhou, Tingting
AU - Ncube, Mahluli Naisbitt
AU - Salati, Saha
AU - Jafari, Hossein
N1 - Publisher Copyright:
© The Author(s)
PY - 2025
Y1 - 2025
N2 - In this paper, we present a numerical technique which is capable of handling variable-order partial differential equations. In this approach, we replace the partial derivatives with operational matrices. We make use of the collocation points to create a system of algebraic equations. The solutions of this system of equations enable us to attain an approximate solution of a variable-order partial differential equation. We demonstrate, with the aid of practical examples, that this method has the ability to deal with complex problems in a fairly straightforward manner and is also highly accurate.
AB - In this paper, we present a numerical technique which is capable of handling variable-order partial differential equations. In this approach, we replace the partial derivatives with operational matrices. We make use of the collocation points to create a system of algebraic equations. The solutions of this system of equations enable us to attain an approximate solution of a variable-order partial differential equation. We demonstrate, with the aid of practical examples, that this method has the ability to deal with complex problems in a fairly straightforward manner and is also highly accurate.
KW - Fractional Partial Differential Equations
KW - Operational Matrices
KW - Taylor Polynomials
KW - Variable-Order Partial Differential Equations
UR - https://www.scopus.com/pages/publications/105003036667
U2 - 10.1142/S0218348X25401309
DO - 10.1142/S0218348X25401309
M3 - Article
AN - SCOPUS:105003036667
SN - 0218-348X
VL - 33
JO - Fractals
JF - Fractals
IS - 6
M1 - 2540130
ER -