The numerical solutions for the nonhomogeneous Burgers' equation with the generalized Hopf-Cole transformation

KdV equations (Korteweg-de Vries equations) (35Q53) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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