Heat transfer problems are of critical importance in almost all areas of engineering and
technology, especially in mechanical engineering. Over several decades, engineers and …

In this study, we introduce an innovative fractional Genocchi collocation method for solving
nonlinear fractional differential equations, which have significant applications in science and …

The results reported in this paper are concerned with the existence and uniqueness of
solutions of discrete fractional order two-point boundary value problem. The results are …

Comparing with the linear Black–Scholes model, the fractional option pricing models are
constructed by taking account some more parameters like, for example, the transaction cost …

This paper presents a numerical scheme based on Haar wavelet for the solutions of higher
order linear and nonlinear boundary value problems. In nonlinear cases, quasilinearization …

In this study, we present a novel numerical scheme for the approximate solutions of linear as
well as non-linear ordinary differential equations of fractional order with boundary …

Due to its importance in science, finding both exact and approximate solutions to fractional
partial differential equations with boundary conditions is important for the research …

In this article, a meshless numerical technique based on radial basis functions (RBFs) is
proposed for the solution of singular perturbed, obstacle, and second-order boundary value …

In this work, an efficient numerical method is proposed for solving generalized Burger's type
equations. The generalized Burger's type equations are first converted into a nonlinear …

In this paper, a hybrid heuristic scheme based on two different basis functions ie Log
Sigmoid and Bernstein Polynomial with unknown parameters is used for solving the …