On numerical solution of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet in porous medium and heat transfer using spline technique [PDF]
MethodsX, 2023 In this paper, the boundary layer flow of viscous incompressible fluid over an inclined stretching plate in porous media with body force and heat transfer has been studied.
Tahera Begum +3 more
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Solving singularly perturbed fredholm integro-differential equation using exact finite difference method [PDF]
BMC Research Notes, 2023 Objectives In this paper, a numerical scheme is designed for solving singularly perturbed Fredholm integro-differential equation. The scheme is constructed via the exact (non-standard) finite difference method to approximate the differential part and the
Solomon Regasa Badeye +2 more
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A fitted operator numerical method for singularly perturbed Fredholm integro-differential equation with integral initial condition [PDF]
BMC Research NotesObjectives In this paper, a uniformly convergent numerical scheme is proposed for solving a singularly perturbed Fredholm integro-differential equation with an integral initial condition.
Aklilu Fufa Oljira +1 more
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Inverse properties of a class of seven-diagonal (near) Toeplitz matrices
Special Matrices, 2021 This paper presents the explicit inverse of a class of seven-diagonal (near) Toeplitz matrices, which arises in the numerical solutions of nonlinear fourth-order differential equation with a finite difference method.
Kurmanbek Bakytzhan +2 more
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Dynamic analysis of delayed vaccination process along with impact of retrial queues
Computational and Mathematical Biophysics, 2023 An unprecedented and precise time-scheduled rollout for the vaccine is needed for an effective vaccination process. This study is based on the development of a novel mathematical model considering a delay in vaccination due to the inability to book a ...
Chauhan Sudipa +3 more
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Alexandria Engineering Journal, 2023 Boundary conditions involving fractional derivatives of unknown functions are more general and can be used to generalize Dirichlet- or Neumann-type boundary conditions.
Kiran Kumar Saha +2 more
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A reliable algorithm for higher order boundary value problems
Alexandria Engineering Journal, 2023 In this manuscript, extension of residual power series method (RPSM) is proposed for ordinary differential equations with boundary conditions. The extended algorithm is tested against different boundary value problems (BVPs), and results are compared ...
Mubashir Qayyum +5 more
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Frontiers in Physics, 2022 Studying and analyzing the random motion of a particle immersed in a liquid represented in the Langevin fractional model by Caputo’s independent derivative is one of the aims of applied physics.
Mohammad Abdel Aal +2 more
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Scaling invariance theory and numerical transformation method: A unifying framework
Applications in Engineering Science, 2020 In a transformation method, the numerical solution of a given boundary value problem is obtained by solving one or more related initial value problems. Therefore, a transformation method, like a shooting method, is an initial value method.
Riccardo Fazio
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Accurate Four-Step Hybrid Block Method for Solving Higher-Order Initial Value Problems
مجلة بغداد للعلوم, 2022 This paper focuses on developing a self-starting numerical approach that can be used for direct integration of higher-order initial value problems of Ordinary Differential Equations.
Olanegan, O. O., Adeyefa, E. O.
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