A variable step-size implementation of the hybrid Nyström method for integrating Hamiltonian and stiff differential systems

A new block method with variable stepsize implementation for solving third‐order differential systems

“…Additional numerical techniques for solving () and related problems can be found in the literature. Examples of these methods include the harmonic balance method, spline method, energy conservation method, finite element method, boundary value method, multi‐derivative method, Trigonometric fitted method, embedded explicit method, direct integration Obrechkoff method, mesh‐free technique, Nyström method, and block method; see [13–33] for further details.…”

A New Two-Step Hybrid Block Method for the FitzHugh–Nagumo Model Equation

“…Many researchers have introduced various analytical and numerical methods to solve problems of the types described in Equations ( 1)- (4). Those strategies include the analytical method by Li and Guo [21], the variational formulation method presented in [22], the Jacobi-Gauss-Lobatto method by Bhrawy [3], analytical and numerical solutions presented in [23], a numerical approach presented by Chandraker et al [24], the pseudo-spectral method presented by Daniel and Shizgal [25], exponential and cubic B-spline methods presented in [26,27], optimized numerical methods presented in [28,29], the block method reported in [30], and the differential quadrature method reported by Mittal and Jiwari [31].…”