Quasilinearization, difference approximation, and nonlinear boundary value problems

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<jats:title>Abstract</jats:title><jats:p>A finite difference method combined with the quasilinearization technique is used to solve the nonlinear two‐point boundary value problems. This method does not have the stability problem connected with the marching integration techniques. A scheme which can be used to reduce the rapid access memory requirements of digital computers is also proposed. The steady state equations resulting from mass and energy balances in a tubular reactor with axial diffusion are solved by this method. With very poor initial approximations, only three to seven iterations are needed to obtain the correct answer.</jats:p>

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