Exact Solution for Mixed Integral Equations by Method of Bernoulli Polynomials

DOI10.1007/978-981-15-1157-8_1zbMath1448.65285OpenAlexW3012246022MaRDI QIDQ3299975

Mithilesh Singh, Nidhi Handa, Shivani Singhal

Publication date: 27 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-1157-8_1

zbMATH Keywords

Bernoulli polynomial methodlinear Volterra-Fredholm integral equations of second kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Cites Work

• Unnamed Item
• A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
• Numerical solution of Volterra-Fredholm integral equations via modification of hat functions
• A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis
• Continuous time collocation methods for Volterra-Fredholm integral equations
• Volterra-Fredholm integral equation of the first kind and spectral relationships
• A generalization of the Bernoulli polynomials
• A new computational method for Volterra-Fredholm integral equations
• A Chebyshev approximation for solving nonlinear integral equations of Hammerstein type
• A different approach for solving the nonlinear Fredholm integral equations of the second kind
• Legendre wavelets method for the nonlinear Volterra---Fredholm integral equations
• Numerical expansion methods for solving Fredholm‐Volterra type linear integral equations by interpolation and quadrature rules
• A New Approach to Bernoulli Polynomials
• Boundary value problems for higher order integro- differential equations
• Expansion over a rectangle of real functions in Bernoulli polynomials and applications

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