A new two-level implicit scheme for the system of 1D quasi-linear parabolic partial differential equations using spline in compression approximations (Q2415443)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new two-level implicit scheme for the system of 1D quasi-linear parabolic partial differential equations using spline in compression approximations |
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A new two-level implicit scheme for the system of 1D quasi-linear parabolic partial differential equations using spline in compression approximations (English)
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21 May 2019
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New implicit schemes for quasi-linear parabolic PDEs are proposed. These partial differential equations are provided with natural boundary conditions and of course with initial conditions. A typical application is the calculation of the dynamic spread of a combustion front. The proposed algorithm is related to spline compression methods using trigonometric splines. An extensive stability analysis establishing unconditional stability is given, and numerical examples are provided.
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quasi-linear parabolic equations
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spline in compression
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generalized Burgers-Huxley equations
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coupled Burgers' equation
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Newton's iterative method
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