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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, ...