[HTML][HTML] Cubic B-spline approximation for linear stochastic integro-differential equation of fractional order

F Mirzaee, S Alipour - Journal of Computational and Applied Mathematics, 2020 - Elsevier
In this paper, the cubic B-spline collocation method is used for solving the stochastic integro-
differential equation of fractional order. we show that stochastic integro-differential equation …

A hybrid kernel-based meshless method for numerical approximation of multidimensional Fisher's equation

M Hussain, A Ghafoor, A Hussain, S Haq, I Ali… - … and Computers in …, 2024 - Elsevier
We propose and analyze a meshless method of lines by considering some hybrid radial
kernels. These hybrid kernels are constructed by linearly combining infinite smooth radial …

An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations

I Ali, S Haq, KS Nisar, D Baleanu - Advances in Difference Equations, 2021 - Springer
We propose a polynomial-based numerical scheme for solving some important nonlinear
partial differential equations (PDEs). In the proposed technique, the temporal part is …

Quintic B-spline collocation method to solve n-dimensional stochastic Itô-Volterra integral equations

F Mirzaee, S Alipour - Journal of Computational and Applied Mathematics, 2021 - Elsevier
In this paper, the n-dimensional stochastic Itô-Volterra integral equation is numerically
solved via quintic B-spline collocation method. To reach this aim, the quintic B-spline …

An algorithm for solving the Burgers–Huxley equation using the Elzaki transform

AC Loyinmi, TK Akinfe - SN Applied sciences, 2020 - Springer
In this research work, we propose an algorithm which involves the coupling of a new integral
transform called the Elzaki transform and the well-known homotopy perturbation method on …

Hybrid B‐Spline Collocation Method for Solving the Generalized Burgers‐Fisher and Burgers‐Huxley Equations

I Wasim, M Abbas, M Amin - Mathematical Problems in …, 2018 - Wiley Online Library
In this study, we introduce a new numerical technique for solving nonlinear generalized
Burgers‐Fisher and Burgers‐Huxley equations using hybrid B‐spline collocation method …

Cardinal b-spline wavelet based numerical method for the solution of generalized Burgers–Huxley equation

SC Shiralashetti, S Kumbinarasaiah - International journal of applied and …, 2018 - Springer
In this paper, Cardinal B-spline wavelet numerical method is developed for the solution of
Generalized Burgers–Huxley (GBH) Equation. It is a new approach for the accurate …

Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations

H Ramos, A Kaur, V Kanwar - Computational and Applied Mathematics, 2022 - Springer
In this paper, we develop an optimized hybrid block method which is combined with a
modified cubic B-spline method, for solving non-linear partial differential equations. In …

A numerical algorithm based on a new kind of tension B-spline function for solving Burgers-Huxley equation

N Alinia, M Zarebnia - Numerical Algorithms, 2019 - Springer
In this paper, a numerical algorithm based on a new kind of tension B-spline, named
hyperbolic-trigonometric tension B-spline method, is applied for solving Burgers-Huxley …

[HTML][HTML] A robust Hermite spline collocation technique to study generalized Burgers-Huxley equation, generalized Burgers-Fisher equation and Modified Burgers' …

S Arora, R Jain, VK Kukreja - Journal of Ocean Engineering and Science, 2022 - Elsevier
In this paper, a robust Hermite collocation technique is proposed to find the numerical
solution of generalized Burgers-Huxley and Burgers-Fisher equations as well as modified …