A Numerical Solution for Hirota-Satsuma Coupled KdV Equation

• Published in: Abstract and Applied Analysis Vol. 2014; no. 2014; pp. 962 - 970-1400
• Main Authors: Ismail, M. S., Ashi, H. A.
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Limiteds 01.01.2014; Hindawi Publishing Corporation; Hindawi Limited; Wiley
• Subjects: Accuracy; Differential equations, Nonlinear; Differential equations, Partial; Economic models; Finite element analysis; Mathematical research; Numerical analysis; Spline theory

A Petrov-Galerkin method and product approximation technique are used to solve numerically the Hirota-Satsuma coupled Korteweg-de Vries equation, using cubic B -splines as test functions and a linear B -spline as trial functions. The implicit midpoint rule is used to advance the solution in time. Ne...