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Application of Runge-Kutta method for the solution of non-linear partial differential equations

✍ Scribed by Ashok Kumar; T.E. Unny


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
604 KB
Volume
1
Category
Article
ISSN
0307-904X

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Periodic solutions of arbitrary period to semilinear partial differential equations of Zabusky or Boussinesq type are obtained. More generally, for a linear differential operator A ( y , a ) , the equation A ( y , a)u = ( -l)lYlas,f(y, Pu), y = (t, x) E Rk x G is studied, where homogeneous boundary