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Numerical computation of the finite-genus solutions of the Korteweg–de Vries equation via Riemann–Hilbert problems

✍ Scribed by Thomas Trogdon; Bernard Deconinck


Book ID
119188055
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
646 KB
Volume
26
Category
Article
ISSN
0893-9659

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Numerical solution of the Korteweg-de Vr
✍ P.C. Jain; Rama Shankar; Dheeraj Bhardwaj 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 459 KB

numerical method is developed for solving the Korteweg-de Vries (KdV) equation u, -6uu, f u xxx = 0 by using splitting method and quintic spline approximation technique. The convergence, stability and accuracy of the proposed method are discussed. Further, the method is extended to solve the perturb