8.1.3 1.3

   8.1.3.1 [2010] Problem 1
   8.1.3.2 [2011] Problem 2
   8.1.3.3 [2012] Problem 3
   8.1.3.4 [2013] Problem 4

8.1.3.1 [2010] Problem 1

problem number 2010

Added March 23, 2019.

Problem Chapter 1.1.3.1, from Handbook of nonlinear partial differential equations by Andrei D. Polyanin, Valentin F. Zaitsev.

Solve for \(w(x,t)\)

\[ w_t = a w_{xx} +b w^k \]

Mathematica


Failed

Maple


sol=()

________________________________________________________________________________________

8.1.3.2 [2011] Problem 2

problem number 2011

Added March 23, 2019.

Problem Chapter 1.1.3.2, from Handbook of nonlinear partial differential equations by Andrei D. Polyanin, Valentin F. Zaitsev.

Solve for \(w(x,t)\) \[ w_t = w_{xx} +a w+ b w^m \]

Mathematica


Failed

Maple


sol=()

________________________________________________________________________________________

8.1.3.3 [2012] Problem 3

problem number 2012

Added March 23, 2019.

Problem Chapter 1.1.3.3, from Handbook of nonlinear partial differential equations by Andrei D. Polyanin, Valentin F. Zaitsev.

Solve for \(w(x,t)\) \[ w_t = w_{xx} +a w+ b w^m + c w^{2 m -1} \]

Mathematica


Failed

Maple


sol=()

________________________________________________________________________________________

8.1.3.4 [2013] Problem 4

problem number 2013

Added March 23, 2019.

Problem Chapter 1.1.3.4, from Handbook of nonlinear partial differential equations by Andrei D. Polyanin, Valentin F. Zaitsev.

Solve for \(w(x,t)\)

\[ w_t = w_{xx} +a w^{m -1} + b m w^m - m b^2 w^{2 m -1} \]

Mathematica


Failed

Maple


sol=()

________________________________________________________________________________________