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A higher-order implicit finite point stair scheme for the modified Burgers' equation
  • V P Shyaman,
  • A Sreelakshmi,
  • Ashish Awasthi
V P Shyaman
National Institute of Technology
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A Sreelakshmi
National Institute of Technology
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Ashish Awasthi
National Institute of Technology

Corresponding Author:[email protected]

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Abstract

In the quest of constructing a user-friendly handy algorithm for the numerical solutions of the modified Burgers equation an adaptive finite point method is carefully orchestrated without compromising on accuracy, stability and consistency. The proposed algorithm has been designed such that the local properties of the exact solution is innately inherited to the numerical solutions. Apart from being conditionally stable, consistent, converging and rapid the method above and beyond replicates the exact solutions on coarse meshes even when the kinematic viscosity close in to zero. To illustrate the applicability of the algorithm differing examples are taken into account. The numerical results obtained are in accordance with the exact physical behavior and with its friendly algorithm have outshined many of the existing sophisticated methods in literature.