... 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...

... 08 01 2019 03 04 2019 04 04 2019 © Emerald Publishing Limited 2019 Emerald Publishing Limited Licensed re-use rights only Legendre polynomials Differential quadrature method Caputo derivative Fractional differential equations Adam Bashforth method Runge–Kutta method...

...@gmail.com 16 04 2018 25 06 2018 27 06 2018 © Emerald Publishing Limited 2018 Emerald Publishing Limited Licensed re-use rights only Differential quadrature method Chebyshev wavelets Fractional Burgers’ equation Fractional Huxley equation Runge–Kutta method...

... Publishing Limited 2018 Emerald Publishing Limited Licensed re-use rights only Differential quadrature method Runge–Kutta method Brusselator model Coupled advection-diffusion-reaction systems Chemo-taxis model Advection-diffusion-reaction of chemical species can produce a variety...

... to the other numerical techniques. Two dimensional quasilinear hyperbolic equations Differential quadrature method Gauss-Lobatto-Chebyshev grid points Runge-Kutta method Differential equations Polynomials In this paper, we have considered the two dimensional quasilinear hyperbolic partial...

... Quasilinearization Differential quadrature method Runge‐Kutta method Order of convergence Differential equations Mathematics Consider the one‐dimensional non linear partial equation: Equation 1 with the initial condition: Equation 2 and the boundary conditions: Equation 3 where v...