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POLYNOMIAL PARTICULAR SOLUTIONS FOR FINDING CRITICAL DOMAINS FOR QUENCHING PROBLEMS - MaRDI portal

POLYNOMIAL PARTICULAR SOLUTIONS FOR FINDING CRITICAL DOMAINS FOR QUENCHING PROBLEMS (Q5035403)

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scientific article; zbMATH DE number 7477779

Language	Label	Description	Also known as
English	POLYNOMIAL PARTICULAR SOLUTIONS FOR FINDING CRITICAL DOMAINS FOR QUENCHING PROBLEMS	scientific article; zbMATH DE number 7477779

Statements

scholarly article

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POLYNOMIAL PARTICULAR SOLUTIONS FOR FINDING CRITICAL DOMAINS FOR QUENCHING PROBLEMS (English)

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zbMATH Open document ID

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10.17654/NM019020143

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B. Khatri Ghimire

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A. R. Lamichhane

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International Journal of Numerical Methods and Applications

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publication date

21 February 2022

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

polynomial basis functions

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method of particular solutions

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nonlinear partial differential equations

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Picard iteration

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quenching and blow up problems

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MaRDI profile type

MaRDI publication profile

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Remarks on quenching

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Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems

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Meshless methods: An overview and recent developments

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Parabolic quenching for nonsmooth convex domains

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The method of fundamental solutions for non‐linear thermal explosions

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THE METHOD OF APPROXIMATE PARTICULAR SOLUTIONS FOR SOLVING ELLIPTIC PROBLEMS WITH VARIABLE COEFFICIENTS

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Particular solutions of Laplacian, Helmholtz-type, and polyharmonic operators involving higher order radial basis functions

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Polynomial particular solutions for solving elliptic partial differential equations

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On the Blowup of u t at Quenching

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Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

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On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)

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Numerical solutions of elliptic partial differential equations using Chebyshev polynomials

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Hybrid Chebyshev polynomial scheme for solving elliptic partial differential equations

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The closed-form particular solutions for Laplace and biharmonic operators using a Gaussian function

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A finite difference method and analysis for 2D nonlinear Poisson-Boltzmann equations

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Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions

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Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method

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Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions

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A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation

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The method of particular solutions for solving scalar wave equations

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Multi-quadric quasi-interpolation method coupled with FDM for the Degasperis-Procesi equation

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