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1
An Algorithmic Approach for Stability of an Autonomous System
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2
New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential Equations
Published 2018“…This article presents a new generalized algorithm for developing k-step (m+1) derivative block methods for solving mth order ordinary differential equations. …”
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Article -
3
Ball surface representations using partial differential equations
Published 2015“…Thus, this research develops an algorithm to generalise Ball surfaces from boundary curves using elliptic PDEs. …”
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4
Application Of Higher Order Compact Finite Difference Methods To Problems In Fluid Dynamics
Published 2003“…These unknowns are solved explicitly with Hermitian relations that relate the variables and its spatial derivatives. The numerical algorithms are first developed for viscous Burgers' equation on uniform and clustered grids. …”
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5
Identification algorithms of flexible structure using neural networks
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6
Guidance, navigation and control for satellite proximity operations using Tschauner-Hempel equations
Published 2011“…These algorithms are used to approach, flyaround, and to depart form a target vehicle in elliptic orbits. …”
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Proceeding Paper -
7
Guidance, navigation and control for satellite proximity operations using Tschauner-Hempel equations
Published 2014“…These algorithms are used to approach, flyaround, and to depart form a target vehicle in elliptic orbits. …”
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8
New Quarter-Sweep-Based Accelerated Over-Relaxation Iterative Algorithms and their Parallel Implementations in Solving the 2D Poisson Equation
Published 2010“…This thesis deals with iterative methods for solving the Poisson equation, which is a representative of partial diferential equations. …”
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9
Hybrid sine-spiral dynamic algorithm for dynamic modelling of a flexible manipulator
Published 2019“…This paper presents a newly developed algorithm formulated based on a synergy between a mathematical sine equation and a spiral equation. …”
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Conference or Workshop Item -
10
Identification algorithms of flexible structure using neural networks
Published 2006“…A simulation algorithm of the plate is developed through a discretisation of the governing partial differential equation formulation of the plate dynamics using finite difference methods. …”
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Conference or Workshop Item -
11
New linear block method for third order ordinary differential equations
Published 2018“…The diversity of adopting different step by step approach when developing block methods of the formis quite rigorous. …”
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12
Block multistep methods for solving first order retarded and neutral delay differential equations
Published 2015“…In conclusion, the performance of the proposed methods and the developed approaches are reliable and suitable for solving both retarded and neutral delay differential equations. …”
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Thesis -
13
Extended multiple models selection algorithms based on iterative feasible generalized least squares (IFGLS) and expectation-maximization (EM) algorithm
Published 2019“…Automated model selection has been used to bridge the gap between experts and end users since 1960s starting with Stepwise and recently with Autometrics for single equation. This extension of Autometrics for model selection was also developed for multiple equations by integrating it with seemingly unrelated regressions equations (SURE) and estimated using feasible generalized least squares (FGLS), known as SURE-Autometrics algorithm. …”
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14
Feedforward neural network for solving particular fractional differential equations
Published 2024“…This study also focuses on solving fractal-fractional differential equations in the Caputo sense with a power-law kernel (FFDEsCP) using FNN in two hidden layers with a vectorized algorithm alongside Adam (FNN2HLVA-Adam). …”
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Thesis -
15
New Quasi-Newton Equation And Method Via Higher Order Tensor Models
Published 2010“…This thesis introduces a general approach by proposing a new quasi-Newton (QN) equation via fourth order tensor model. …”
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16
Computational approach via half-sweep and preconditioned aor for fractional diffusion
Published 2022“…The combination of a half-sweep finite difference scheme and PAOR algorithm can be a good alternative computational approach to solve the time-fractional diffusion equation-based mathematical physics model.…”
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Article -
17
Development of 3D Crane PID Controller System via State-space Approach
Published 2011“…The mathematical equation for 2D crane can be modeled dynamically using various approaches such as Lagrange-Euler's Method and Newton-Euler's Method. …”
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Final Year Project -
18
Relative motion guidance, navigation and control for autonomous spacecraft rendezvous
Published 2011“…These algorithms are used to approach, flyaround, and to depart form a target vehicle in elliptic orbits. …”
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Proceeding Paper -
19
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An AUSM-based high-order compact method for solving Navier-Stokes equations
Published 2023“…A high-order compact upwind algorithm is developed for solving Navier-Stokes equations in two-space dimensions. …”
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