scientific article; zbMATH DE number 7288680

zbMath1455.65232MaRDI QIDQ5141691

Sandeep Dixit

Publication date: 18 December 2020

Full work available at URL: http://www.pvamu.edu/aam/wp-content/uploads/sites/182/2020/12/33_R1415_AAM_Dixit_SD_062620_Published_121020.pdf

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zbMATH Keywords

Bernstein polynomialsAbel inversionoperational matrixsystem of generalized Abel integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Inverse problems for integral equations (45Q05)

Cites Work

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• A stable numerical inversion of generalized Abel's integral equation
• Numerical solution of linear Volterra integral equations system of the second kind
• Solution of a system of generalized Abel integral equations using fractional calculus
• Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method
• Chaotic behaviour of fractional predator-prey dynamical system
• Analytical solution of Abel integral equation arising in astrophysics via Laplace transform
• Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials
• Systems of Generalized Abel Integral Equations with Applications to Simultaneous Dual Relations
• Volterra integral and differential equations

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