Question: How get pade-approximate solution ?

we have a lot term which we add thus term we can get something near to our solution but i don't know how it is work , did any one did pade approximate of series solution?

restart

with(inttrans)

with(PDEtools)

with(DEtools)

with(Physics)

declare(u(x, t), quiet); declare(v(x, t), quiet); declare(U(x, t), quiet)

undeclare(prime)

approx_sol := -8*x + 3 - 208/3*x^3 + 24*x^2 + 2279/15*x^5 + 200*x^4 + 443/63*x^7 + 676/15*x^6 + 62/2835*x^9 + 62/105*x^8

-8*x+3-(208/3)*x^3+24*x^2+(2279/15)*x^5+200*x^4+(443/63)*x^7+(676/15)*x^6+(62/2835)*x^9+(62/105)*x^8

(1)
 

NULL

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