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Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the Sinc-collocation method based on the double exponential transformation

Wenlin Qiu, Da Xu, Jing Guo

2020Applied Mathematics and Computation37 citationsDOI

Topics & Concepts

Sinc functionMathematicsDiscretizationDouble exponential functionMathematical analysisExponential functionBackward Euler methodCollocation methodPartial differential equationIntegro-differential equationNumerical analysisTransformation (genetics)Quadrature (astronomy)Euler's formulaCollocation (remote sensing)Applied mathematicsConvolution (computer science)Differential equationOrdinary differential equationFirst-order partial differential equationMachine learningBiochemistryComputer scienceEngineeringChemistryElectrical engineeringArtificial neural networkGeneGeologyRemote sensingFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsIterative Methods for Nonlinear Equations
Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the Sinc-collocation method based on the double exponential transformation | Litcius