CODEWITHSUNDEEP
cstatic-librariessimultaneousequation-solvingnonlinear-functions
Deepak
Deepak

Reputation: 21

How to solve simultaneous non-linear equations with exponential functions?

I have a system of equations to solve for x1 and x2: 

2*erf(A*x2)*exp(B*x1^2+C*x2^2)-D*erf(x1)=0

2*erf(D*x2)*exp(E*x1^2+F*x2^2)-G*erf(x1)-erf(H*x2)*exp(I*x1^2)=0

where B and C are negative while rest of the constants are positive.

I tried to solve it in C using multiroot function from the GSL library. It seems that multiroot was not able to solve the system. I tried the same implementation of multiroot for non-linear simultaneous polynomial functions (no exponential part in it) and it worked well and gave correct results. Any suggestions on how to solve such a system? Or any other powerful library which can be used for such equations?

Upvotes: 2

Views: 1087

Answers (1)

vonbrand
vonbrand

Reputation: 11831

Look for a numerical method, for example the "Numerical recipes" book is higly regarded. Solving nonalgebraic equations is a vast, complex area. Systems of such equations doubly so.

Upvotes: 0

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