Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations

DOI10.1186/s13662-019-1968-9zbMath1458.65136OpenAlexW2919399584WikidataQ115518718 ScholiaQ115518718MaRDI QIDQ1720174

Xianqiang Yang

Publication date: 12 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-1968-9

zbMATH Keywords

convergence analysisconvection-diffusion equationquasilinear elliptic equationsBurger's equationNavier-Stokes equations of motioncompact exponential approximationfourth order difference methods

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Navier-Stokes equations (35Q30) Finite difference methods for boundary value problems involving PDEs (65N06)

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Exponential basis and exponential expanding grids third (fourth)-order compact schemes for nonlinear three-dimensional convection-diffusion-reaction equation ⋮ Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: application to bi- and tri-harmonic boundary value problems ⋮ Unnamed Item ⋮ A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems ⋮ Compact half step approximation in exponential form for the system of 2D second-order quasi-linear elliptic partial differential equations ⋮ A NEW THIRD ORDER EXPONENTIALLY FITTED DISCRETIZATION FOR THE SOLUTION OF NON-LINEAR TWO POINT BOUNDARY VALUE PROBLEMS ON A GRADED MESH ⋮ High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain

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