Abstract
Computer technology has advanced rapidly in the past two decades. Many complicated petroleum science and engineering problems have been solved numerically using computers. Consequently, less attention has been paid to analytical methods. Higher education institutions have a tendency to offer more numerical analysis courses and less advanced mathematics courses than before. As a result, the analytical skills of graduating petroleum scientists and engineers are declining. This article demonstrates that analytical methods are still favorable in solving some petroleum science and engineering problems. The demonstration example is the proof of the Young–Laplace equation using the theory of Calculus of Variations applied to petroleum fluids.
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