Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A compact fourth-order implicit-explicit Runge-Kutta type scheme for
  numerical solution of the Kuramoto-Sivashinsky equation   This manuscript introduces a fourth-order Runge-Kutta based implicit-explicit
scheme in time along with compact fourth-order finite difference scheme in
space for the solution of one-dimensional Kuramoto-Sivashinsky equation with
periodic and Dirichlet boundary conditions, respectively. The proposed scheme
takes full advantage of method of line (MOL) and partial fraction decomposition
techniques, therefore it just need to solve two backward Euler-type linear
systems at each time step to get the solution. Performance of the scheme is
investigated by testing it on some test examples and by comparing numerical
results with relevant known schemes. It is found that the proposed scheme is
more accurate and reliable than existing schemes to solve Kuramoto-Sivashinsky
equation.

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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat