Friday 26th of April 2024
 

Singularly perturbed Quasilinear Boundary Value Problems With Interior Shock Layer Behavior


Ghoul Rafia and Ni Yu-Dong

Some singularly perturbed quasilinear boundary value problems are studied. Under certain conditions, by introducing a appropriate stretching transformation and constructing interior layer corrective terms, an asymptotic solution that is uniformly valid over the whole interval is obtained. This solution is shown to exhibit interior shock layer behavior at interior transition points.

Keywords: Singularly perturbed; Quasilinear; Boundary value problems; shock layer; Composite expansion.

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ABOUT THE AUTHORS

Ghoul Rafia
master student

Ni Yu-Dong
professor in Hefei university of technology


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