فهرست نشریات علمی دسترسی آزاد ایران

This study presents an innovative numerical scheme to address the non-linear time-fractional coupled Klein-Gordon-Zakharov equation‎. ‎The spatial derivatives are approximated using a pseudo-spectral method‎, ‎which utilizes Lagrange polynomials at Chebyshev points as basis functions‎. ‎Time discretization is accomplished through the finite difference method‎. ‎The proposed scheme is rigorously proven to be unconditionally stable‎, ‎ensuring robustness in numerical simulations‎. ‎Furthermore‎, ‎the time convergence order of the scheme is derived‎, ‎highlighting its reliability‎. ‎Numerical experiments demonstrate the exceptional accuracy and robustness of the method‎, ‎with its exponential precision offering precise and reliable solutions‎. ‎This approach serves as a powerful tool for solving complex non-linear partial differential equations‎, ‎making it highly applicable in various scientific and engineering domains that demand effective and efficient computational techniques‎.