首页|A high accuracy variable mesh numerical approximation for two point nonlinear BVPs with mixed boundary conditions
A high accuracy variable mesh numerical approximation for two point nonlinear BVPs with mixed boundary conditions
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NSTL
Springer Nature
Abstract This article proposes a numerical method of third-order accuracy for a second-order nonlinear two-point boundary value problem with mixed boundary conditions. The scheme is developed using a non-uniform grid induced with the help of a parameter η. The value of η is dependent on the number of intervals N0. The scheme involves only three grid points and is applicable to many problems of physical interest. An error analysis of the designed discretization is carried out to establish the claimed order of accuracy, which in turn is verified through the numerical outcomes. It is evident from the computational illustrations that our techniques are superior to the already existing ones, for these produce better results.
Nonlinear boundary value problemsNon-uniform gridMixed boundary conditionsBurgers’ equationConvection–Diffusion equation
NSTL
Springer Nature
