Question: How to fit polynomials or another ones for s(x) and g(x)?

hi.

how i can select or chose proper polynomials or another functions that attached boundary conditions at points zero and one , weakly or strongly satisfy??polynomial.mw

s(0) = 0, ((D@@1)(s))(0) = 0, g(0) = 0, ((D@@2)(s))(1) = 0, ((D@@3)(s))(1) = 0, ((D@@1)(g))(1)+(1/2)*((D@@1)(s))(1)^2 = 0

s(0) = 0, (D(s))(0) = 0, g(0) = 0, ((D@@2)(s))(1) = 0, ((D@@3)(s))(1) = 0, (D(g))(1)+(1/2)*(D(s))(1)^2 = 0

(1)

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Download polynomial.mw

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