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An integrated numerical method with error analysis for solving fractional differential equations of quintic nonlinear type arising in applied sciences
(DEC)
In this study, fractional differential equations having quintic nonlinearity are considered by proposing an accurate numerical method based on the matching polynomial and matrix-collocation system. This method provides an ...
An inventive numerical method for solving the most general form of integro-differential equations with functional delays and characteristic behavior of orthoexponential residual function
(JUN)
In this study, we constitute the most general form of functional integro-differential equations with functional delays. An inventive method based on Dickson polynomials with the parameter- along with collocation points is ...
An advanced method with convergence analysis for solving space-time fractional partial differential equations with multi delays
(AUG)
This study considers the space-time fractional partial differential equations with multi delays under a unique formulation, proposing a numerical method involving advanced matrix system. This matrix system is made up of ...
A novel hybrid method for solving combined functional neutral differential equations with several delays and investigation of convergence rate via residual function
(SUM)
In this study, we introduce a novel hybrid method based on a simple graph along with operational matrix to solve the combined functional neutral differential equations with several delays. The matrix relations of the ...
On the numerical solution of fractional differential equations with cubic nonlinearity via matching polynomial of complete graph
(DEC)
This study deals with a generalized form of fractional differential equations with cubic nonlinearity, employing a matrix-collocation method dependent on the matching polynomial of complete graph. The method presents a ...
A novel graph-operational matrix method for solving multidelay fractional differential equations with variable coefficients and a numerical comparative survey of fractional derivative types
(2019)
In this study, we introduce multidelay fractional differential equations with variable coefficients in a unique formula. A novel graph-operational matrix method based on the fractional Caputo, Riemann-Liouville, Caputo-Fabrizio, ...
A numerical method for solving some model problems arising in science and convergence analysis based on residual function
(NOV)
In this study, we solve some widely-used model problems consisting of linear, nonlinear differential and integral equations, employing Dickson polynomials with the parameter-a and the collocation points for an efficient ...
A Novel Collocation Method Based on Residual Error Analysis for Solving Integro-Differential Equations Using Hybrid Dickson and Taylor Polynomials
(FEB)
In this study, a novel matrix method based on collocation points is proposed to solve some linear and nonlinear integro-differential equations with variable coefficients under the mixed conditions. The solutions are obtained ...
A numerical approach with error estimation to solve general integro-differential-difference equations using Dickson polynomials
(MAR 5)
In this paper, a matrix method based on the Dickson polynomials and collocation points is introduced for the numerical solution of linear integro-differential-difference equations with variable coefficients under the mixed ...