SHILAP Revista de lepidopterología · 2010 · 21 citations · 27 references
Open access
Numerical AnalysisHomotopy ApproachNumerical StudyMethod Of Fundamental SolutionEngineeringHyperbolic Conservation LawNonlinear Hyperbolic ProblemHomotopy Analysis MethodComputational MechanicsNumerical TreatmentNumerical Method For Partial Differential Equation
A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the Korteweg-de Vries Burgers (KdVB) equations with initial conditions by a homotopy approach. Numerical solutions obtained by homotopy analysis method are compared with exact solution. The comparison shows that the obtained solutions are in excellent agreement.
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Method for Solving the Korteweg-deVries Equation
Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Physical Review Letters · 1967 · 4.5K citations
Numerical Analysis, Solitary Waves, Nonlinear Wave Propagation +8
Beyond Perturbation: Introduction to the Homotopy Analysis Method
Shijun Liao, S. A. Sherif · Applied Mechanics Reviews · 2004 · 2.7K citations · Full text