Analytic solutions for the Burgers equation with source terms
arXiv:1503.09079
Originality Synthesis-oriented
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Provides analytic benchmarks for researchers developing and testing numerical methods for Burgers-type equations with source terms.
The authors developed a procedure based on the characteristic technique to obtain analytic solutions for Burgers equations with source terms, including stiff ones, with smooth initial conditions. These solutions serve as benchmarks for assessing numerical schemes.
Analytic solutions for Burgers equations with source terms, possibly stiff, represent an important element to assess numerical schemes. Here we present a procedure, based on the characteristic technique to obtain analytic solutions for these equations with smooth initial conditions.