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AdjointEq

AdjointEq[eq, dVar]
gives the adjoint equation of equation eq. dVar provides the symbol for the new dependent variable.
AdjointEq[system, dVars]
gives the adjoint system of equations of the system. dVars provides the symbols for the new dependent variables.
  • dVar is optional. If it is not specified a unique variable shall be assigned.
EXAMPLESCLOSE ALL
Basic Examples   (3)
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The adjoint equation of the heat equation is:
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The adjoint equation of the KdV is:
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The adjoint equation for the harmonic equation is:
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Evidently, tthe harmonic oscillator is self-adjoint.
TUTORIALS
  • SYM and Conservation Laws