Study of \(4^{th}\) order Kuramoto-Sivashinsky equation by septic Hermite collocation method

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Cites Work

Quintic B-spline collocation method for numerical solution of the Kuramoto-Sivashinsky equation
Numerical solutions of the generalized Kuramoto-Sivashinsky equation by Chebyshev spectral collocation methods
The non-existence of a certain class of travelling wave solutions of the Kuramoto-Sivashinsky equation
Analyticity for the Kuramoto-Sivashinsky equation
A quintic B-spline based differential quadrature method for numerical solution of Kuramoto-Sivashinsky equation
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Numerical solutions of the generalized kuramoto-sivashinsky equation using B-spline functions
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The Well-Posedness of the Kuramoto–Sivashinsky Equation
Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments
On Flame Propagation Under Conditions of Stoichiometry
A high-order implicit–explicit Runge–Kutta type scheme for the numerical solution of the Kuramoto–Sivashinsky equation
Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin–Huxley equation
Septic Hermite collocation method for the numerical solution of Benjamin–Bona–Mahony–Burgers equation
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