(* d_hematr.m *) (* Menu item 1-38 *) (* Last Updated: 13 May, 2008, 10:16 by DP at CSM *) (* This equation is a special case that occurs in nonlinear problems *) (* involving heat and mass transfer, combustion theory and flows in *) (* porous media. *) (*eq[1] = D[u[1][x,t],t] - aa*D[u[1][x,t],{x,2}]/u[1][x,t]^2 + aa*D[u[1][x,t],x]^2/u[1][x,t]^3;*) eq[1] = u[1][x,t]^3*D[u[1][x,t],t] - aa*D[u[1][x,t],{x,2}]*u[1][x,t] + aa*D[u[1][x,t],x]^2; diffFunctionListINPUT = {eq[1]}; numDependentVariablesINPUT = 1; independentVariableListINPUT = {x}; nameINPUT = "(1+1) heat/mass transfer equation"; noteINPUT = Null; parametersINPUT = {aa}; weightedParametersINPUT = {}; userWeightRulesINPUT = {}; rankRhoINPUT = Null; explicitIndependentVariablesInDensitiesINPUT = Null; formRhoINPUT = {}; (* Equation 1.1.10.3, p. 26 Polyanin and Zaitsev, 2004, Handbook of *) (* Nonlinear PDEs *) (* d_hematr.m *) (* end of file *)