A collocation method to solve the parabolic-type partial integro-differential equations via Pell-Lucas polynomials
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Publication:2079149
DOI10.1016/J.AMC.2022.126956OpenAlexW4210360078WikidataQ114210927 ScholiaQ114210927MaRDI QIDQ2079149
Gamze Yıldırım, Şuayip Yüzbaşı
Publication date: 4 March 2022
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2022.126956
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for integral equations, integral transforms (65Rxx)
Cites Work
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- Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions
- A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions
- Chebyshev collocation method for parabolic partial integrodifferential equations
- The spectral methods for parabolic Volterra integro-differential equations
- Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients
- Bessel polynomial solutions of high-order linear Volterra integro-differential equations
- A collocation method based on Bernstein polynomials to solve nonlinear Fredholm-Volterra integro-differential equations
- Laguerre approach for solving pantograph-type Volterra integro-differential equations
- The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: application to the heat equation
- Fully spectral collocation method for nonlinear parabolic partial integro-differential equations
- Numerical solution of Volterra partial integro-differential equations based on sinc-collocation method
- Computational algorithm for solving Fredholm time-fractional partial integrodifferential equations of Dirichlet functions type with error estimates
- Numerical approach for solution to an uncertain fractional differential equation
- Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients
- Linear barycentric rational collocation method for solving second-order Volterra integro-differential equation
- A fast numerical method for fractional partial integro-differential equations with spatial-time delays
- Using reproducing kernel for solving a class of fractional order integral differential equations
- Application of the collocation method for solving nonlinear fractional integro-differential equations
- A new class of polynomial functions for approximate solution of generalized Benjamin-Bona-Mahony-Burgers (gBBMB) equations
- Collocation method for approximate solution of Volterra integro-differential equations of the third-kind
- An inventive numerical method for solving the most general form of integro-differential equations with functional delays and characteristic behavior of orthoexponential residual function
- Numerical solution of fractional integro-differential equations by a hybrid collocation method
- On solutions of fractional order telegraph partial differential equation by Crank-Nicholson finite difference method
- A Legendre collocation method for fractional integro-differential equations
- Solution of high-order linear Fredholm integro-differential equations with piecewise intervals
- A Taylor Collocation Method for the Solution of Linear Integro-Differential Equations
- Error analysis of the Chebyshev collocation method for linear second-order partial differential equations
- A Numerical Method for Solving Second-Order Linear Partial Differential Equations Under Dirichlet, Neumann and Robin Boundary Conditions
- A shifted Legendre method for solving a population model and delay linear Volterra integro-differential equations
- Fractional integration operator for numerical solution of the integro-partial time fractional diffusion heat equation with weakly singular kernel
- A Novel Collocation Method Based on Residual Error Analysis for Solving Integro-Differential Equations Using Hybrid Dickson and Taylor Polynomials
- A chebyshev collocation method for the solution of linear integro-differential equations
- Numerical Solution of Diffusion and Reaction–Diffusion Partial Integro-Differential Equations
- Pell-Lucas collocation method to solve high-order linear Fredholm-Volterraintegro-differential equations and residual correction
- A numerical study of two-dimensional coupled systems and higher order partial differential equations
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