Keywords: نقاط همگرایی; Two-dimensional hyperbolic telegraph equations; Partial differential equations; Bessel functions of first kind; Collocation method; Collocation points; Numerical solutions;
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Keywords: نقاط همگرایی; Squeezing flow; Cu-water nano fluid; Quasilinearization technique; Scale-3 Haar wavelets; Collocation points;
Keywords: نقاط همگرایی; Collocation points; Convergence; Dickson polynomials; Matrix method;
Keywords: نقاط همگرایی; Hyperbolic telegraph equation; Bessel functions of first kind; Bessel collocation method; Collocation points; Residual function; Residual correction
Keywords: نقاط همگرایی; 35B30; 37M05; 65M22; 65N22Differential–difference equation; Collocation points; Polynomial solutions
Keywords: نقاط همگرایی; Telegraph equation; Crank-Nicolson scheme; Haar wavelets; Collocation points;
Keywords: نقاط همگرایی; System of Fredholm–Volterra integro differential equations; The Bessel functions of first kind; The Bessel collocation method; Collocation points; Residual error estimation
Keywords: نقاط همگرایی; Coupled viscous Burgers' equation; Quasilinearization technique; Forward difference; Haar wavelets; Collocation points; Error analysis;
Keywords: نقاط همگرایی; Volterra integral equation; Collocation points; Multi-projection method;
Keywords: نقاط همگرایی; Hermite basis; Spectral norms; Chebyshev polynomials; Collocation points; Error estimates;
Applications of Quintic Hermite collocation with time discretization to singularly perturbed problems
Keywords: نقاط همگرایی; Singular perturbation; Quintic Hermite collocation; Forward difference; Parameter uniform convergence; Collocation points; 35K10; 35K57; 65M70; 65M12;
Comparison of Chebyshev and Legendre polynomials methods for solving two dimensional Volterra - Fredholm integral equations
Keywords: نقاط همگرایی; Chebyshev polynomials; Legendre polynomials; Two dimensional integral equations; Collocation points; 65R20; 41A50; 41A55; 65M70;
A new collocation approach for solving systems of high-order linear Volterra integro-differential equations with variable coefficients
Keywords: نقاط همگرایی; Systems of mixed linear Volterra integro-differential equations; Numerical approximation; Fibonacci polynomials; Collocation points; 41A58; 34K28; 45J05; 41A10;
LUPOD: Collocation in POD via LU decomposition
Keywords: نقاط همگرایی; Proper orthogonal decomposition; Singular value decomposition; Collocation points; Reduced order models; Galerkin projection;
Hybrid Euler–Taylor matrix method for solving of generalized linear Fredholm integro-differential difference equations
Keywords: نقاط همگرایی; Matrix method; Euler polynomials; Integro-differential-difference equations; Collocation points; Residual error analysis
Improved Bessel collocation method for linear Volterra integro-differential equations with piecewise intervals and application of a Volterra population model
Keywords: نقاط همگرایی; Population model; Volterra integro-differential equations with piecewise intervals; Bessel functions of first kind; Improved Bessel collocation method; Residual correction; Collocation points
Application of Chebyshev collocation method for solving two classes of non-classical parabolic PDEs
Keywords: نقاط همگرایی; Parabolic problems; Non-classical boundary conditions; Chebyshev series; Collocation points; Chebyshev operational matrix of derivative;
Taylor collocation approach for delayed Lotka–Volterra predator–prey system
Keywords: نقاط همگرایی; Lotka–Volterra prey–predator model; System of nonlinear delay-differential equations; Taylor polynomials and series; Collocation points
The numerical solution of Fokker–Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa׳s approach and Galerkin method
Keywords: نقاط همگرایی; Linear and nonlinear Fokker–Planck equations; Collocation points; Meshless method based on radial basis functions (RBFs); Multiquadrics (MQ); Inverse Quadric (IQ); Laguerre–Gaussian; Variable shape parameter; Kansa׳s approach; Galerkin method; Tau approac
Numerical solutions of singularly perturbed one-dimensional parabolic convection-diffusion problems by the Bessel collocation method
Keywords: نقاط همگرایی; Singular perturbation; Parabolic problems; Convection-diffusion problem; The Bessel functions of first kind; Collocation points; Bessel collocation method;
Taylor collocation method for systems of high-order linear differential–difference equations with variable coefficients
Keywords: نقاط همگرایی; Taylor polynomials and series; Collocation points; System of differential–difference equations
A collocation method to find solutions of linear complex differential equations in circular domains
Keywords: نقاط همگرایی; Complex differential equations; Bessel functions of the first kind; Collocation method; Collocation points; Approximate solution; Numerical solution;
Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices
Keywords: نقاط همگرایی; Collocation points; Gegenbauer–Gauss points; Gegenbauer integration matrix; Gegenbauer integration method; Gegenbauer polynomials; Spectral methods
A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation
Keywords: نقاط همگرایی; Haar wavelets; Burgers' equation; Multi-resolution analysis; Collocation points;
A collocation approach to solving the model of pollution for a system of lakes
Keywords: نقاط همگرایی; Modeling the pollution of a system of lakes; Collocation method; Collocation points; Bessel polynomials and series; Approximate solutions
On the solutions of a system of linear retarded and advanced differential equations by the Bessel collocation approximation
Keywords: نقاط همگرایی; System of linear retarded and advanced differential equations; Bessel collocation approach; Collocation points; Bessel functions of the first kind; Approximate solutions
A numerical approximation based on the Bessel functions of first kind for solutions of Riccati type differential–difference equations
Keywords: نقاط همگرایی; Riccati differential–difference equations; Approximate solutions; Bessel functions of first kind; Bessel collocation method; Collocation points
An efficient algorithm for solving multi-pantograph equation systems
Keywords: نقاط همگرایی; System of multi-pantograph equations; Bessel functions of first kind; Approximate solutions; Bessel collocation method; Collocation points
Bessel collocation approach for solving continuous population models for single and interacting species
Keywords: نقاط همگرایی; Logistic growth; Predator–prey models; Bessel polynomials and series; Collocation method; Collocation points; Nonlinear differential equations
A collocation approach for solving high-order linear Fredholm–Volterra integro-differential equations
Keywords: نقاط همگرایی; Fredholm–Volterra integro-differential equations; Bessel polynomials and series; Bessel collocation method; Collocation points
Laguerre polynomial approach for solving linear delay difference equations
Keywords: نقاط همگرایی; Laguerre polynomials and series; Delay difference equations; Laguerre collocation method; Polynomial approximations; Collocation points
A numerical approach for solving the high-order linear singular differential–difference equations
Keywords: نقاط همگرایی; Singular differential–difference equations; Approximate solutions; Collocation method; Collocation points; The Bessel matrix method; The Bessel polynomials and series
A collocation approach for solving systems of linear Volterra integral equations with variable coefficients
Keywords: نقاط همگرایی; System of Volterra integral equations; The Bessel polynomials and series; Collocation method; Collocation points
Numerical solutions of systems of linear Fredholm integro-differential equations with Bessel polynomial bases
Keywords: نقاط همگرایی; System of Fredholm integro-differential equations; The Bessel polynomials and series; The Bessel polynomial solutions; The Bessel matrix method; Collocation points
A new collocation method for solution of mixed linear integro-differential-difference equations
Keywords: نقاط همگرایی; Mixed linear integro-differential-difference equations; Chebyshev polynomials and series; Approximation methods; Collocation points;
Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
Keywords: نقاط همگرایی; Nonlinear Fredholm integral equation; Haar wavelet; Error analysis; Haar coefficient matrix; Block-pulse function; Collocation points
Legendre polynomial solutions of high-order linear Fredholm integro-differential equations
Keywords: نقاط همگرایی; Legendre polynomials and series; Fredholm integro-differential equations; Collocation points
A computationally efficient technique for solving two point boundary value problems in porous media
Keywords: نقاط همگرایی; Orthogonal collocation; Finite element; Collocation points; Boundary value problems;
A Taylor collocation method for the approximate solution of general linear Fredholm-Volterra integro-difference equations with mixed argument
Keywords: نقاط همگرایی; Taylor polynomials; Fredholm-Volterra difference and integro-difference equations; Collocation points;