... through time series and phase portraits. The model's response to varying fractional orders and parameters is numerically simulated using modified Adams-Bashforth-Moulton and Runge-Kutta methods. The work also compares system dynamics with and without control measures and evaluates how model parameters...

... of dynamic systems with periodic time-varying characteristics. Design/methodology/approach An improved method is proposed based on Runge–Kutta method according to the composition characteristics of the state space matrix and the external load vector formed by the reduction of the dynamic equation...

... Differential quadrature method Caputo derivative Fractional differential equations Adam Bashforth method Runge–Kutta method Fractional calculus is the field of mathematics in which non-integer order derivatives and integrals are involved. Fractional calculus has become an indispensable mathematical...

... Burgers’ equation Fractional Huxley equation Runge–Kutta method Fractional calculus deals with non-integer order derivatives and integrals of functions (Kilbas et al., 2006 ; Diethelm, 2004a). In recent years, differential equations of fractional order have appeared in many areas...

... L ∈ ℜ⁺, at the generic time t_i can be written as: Differential quadrature method Runge–Kutta method Brusselator model Coupled advection-diffusion-reaction systems Chemo-taxis model Solution study of advection-diffusion-reaction systems is an interesting...

... Equation 28 Equation 29 Ram Jiwari can be contacted at: ram1maths@gmail.com © Emerald Group Publishing Limited 2013 Two dimensional quasilinear hyperbolic equations Differential quadrature method Gauss-Lobatto-Chebyshev grid points Runge-Kutta method Differential equations...

... be contacted at: ram1maths@gmail.com © Emerald Group Publishing Limited 2013 Burgers' equation Quasilinearization Differential quadrature method Runge‐Kutta method Order of convergence Differential equations Mathematics Consider the one‐dimensional non linear partial equation...