Tutorials Vbook v0 1-Thủ Thuật UDS part 106 pps
Handbook of mathematics for engineers and scienteists part 106 ppsx
... equations with a composite argument, it is assumed that ϕ(x) const and ψ(t) const.
704 NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
TABLE 15.6
Nonlinear Klein–Gordon equations ∂
tt
w – ∂
xx
w = F(w) ... Splitting method.
The substitution of the expression
w = F(z), z = ϕ(x)+ψ(t)(15.6.4.1)
into a nonlinear partial differential equation sometimes leads to functional differential
equations of the fo...
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