Numerical solution method for multi-term variable order fractional differential equations by shifted Chebyshev polynomials of the third kind

Numerical solution method for multi-term variable order fractional differential equations by shifted Chebyshev polynomials of the third kind

Blog Article

Multi-term variable-order fractional differential equations (VO-FDEs) are considered to be one of the tools to illustrate the behavior of transient-regime real-life phenomena precisely.The analytical solutions of VO-FDEs are generally very hard to obtain.Therefore, in this study, an approximation method for the solution of multi-term VO-FDEs is proposed using shifted Chebyshev dodge warlord for sale polynomials of the third kind (SCP3).

The method employs the operational matrices of read more SCP3 to proximate the VO-FDEs with a system of algebraic equations.The solution of which also yields the approximate result for the multi-term VO-FDE.An error analysis is also included.

The SCP3 method is examined on several examples demonstrating the precision and prowess of the method.