$$H^1$$ stability and convergence analysis of the L1/L1-2 Legendre spectral method for non-local weakly singular integro-PDEs
Younis A. Sabawi, Sudarshan Santra, Pratibhamoy Das, Najem A. Mohammad
Topics & Concepts
MathematicsLegendre polynomialsSpectral methodDiscretizationMathematical analysisGaussian quadratureNumerical analysisRate of convergenceGalerkin methodSpectral element methodNumerical stabilityApplied mathematicsConvergence (economics)Legendre waveletPseudo-spectral methodSobolev spaceQuadrature (astronomy)Differential operatorRichardson extrapolationOperator (biology)Numerical integrationLinear subspaceOrder of accuracyLagrange polynomialDifferential equationTrapezoidal ruleExtrapolationStability (learning theory)SmoothnessSpace (punctuation)Approximation theoryLegendre functionFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsNumerical methods for differential equations