Solving the nonlinear integro-differential equation in complex plane with rationalized Haar wavelet

DOI10.1016/j.matcom.2019.03.006OpenAlexW2923896930WikidataQ115343855 ScholiaQ115343855MaRDI QIDQ1997659

Majid Erfanian, Amin Mansoori

Publication date: 2 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2019.03.006

zbMATH Keywords

nonlinear integro-differential equationfixed point theoremcomplex planerationalized Haar wavelet

Mathematics Subject Classification ID

Numerical methods for integral equations, integral transforms (65Rxx) Integro-ordinary differential equations (45Jxx) Nonlinear integral equations (45Gxx) Integral transforms, operational calculus (44Axx) Volterra integral equations (45Dxx)

Related Items

Chaotic behaviour of fractional predator-prey dynamical system, Using of PQWs for solving NFID in the complex plane, Analysis of a nonlinear Volterra-Fredholm integro-differential equation, Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet, Investigation approach for a nonlinear singular Fredholm integro-differential equation, Analytical and numerical approach for a nonlinear Volterra-Fredholm integro-differential equation, An improved radial basis functions method for the high-order Volterra-Fredholm integro-differential equations, Refinement of SOR Iterative Method for the Linear Rational Finite Difference Solution of Second-Order Fredholm Integro-Differential Equations, Unnamed Item, Numerical solution of nonlinear mixed Volterra-Fredholm integral equations in complex plane via PQWs, Solving two-dimensional nonlinear mixed Volterra Fredholm integral equations by using rationalized Haar functions in the complex plane, Solving of nonlinear Volterra integro-differential equations in the complex plane with periodic quasi-wavelets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A collocation method based on the Bernoulli operational matrix for solving high-order linear complex differential equations in a rectangular domain
• Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations
• Approximate solution of linear Volterra integro-differential equation by using cubic B-spline finite element method in the complex plane
• A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations
• The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations
• Rationalized Haar wavelet bases to approximate solution of nonlinear Fredholm integral equations with error analysis
• The approximate solution of nonlinear integral equations with the RH wavelet bases in a complex plane
• Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations
• Numerical solution of functional differential, integral and integro-differential equations
• Numerical solution for system of Cauchy type singular integral equations with its error analysis in complex plane
• A new sequential approach for solving the integro-differential equation via Haar wavelet bases
• Haar wavelet method for nonlinear integro-differential equations
• Legendre wavelets method for the nonlinear Volterra---Fredholm integral equations
• Caluculating Current Densities and Fields Produced by Shielded Magnetic Resonance Imaging Probes
• The approximate solution of nonlinear mixed Volterra‐ Fredholm‐Hammerstein integral equations with RH wavelet bases in a complex plane
• Solving of nonlinear Fredholm integro-differential equation in a complex plane with rationalized Haar wavelet bases