An optimal family of block techniques to solve models of infectious diseases: Fixed and adaptive stepsize strategies

K Abuasbeh, S Qureshi, A Soomro, M Awadalla - Mathematics, 2023 - mdpi.com
The contemporary scientific community is very familiar with implicit block techniques for
solving initial value problems in ordinary differential equations. This is due to the fact that …

[PDF][PDF] Optimized hybrid block Adams method for solving first order ordinary differential equations

H Soomro, N Zainuddin, H Daud… - Computers, Materials & …, 2022 - cdn.techscience.cn
Multistep integration methods are being extensively used in the simulations of high
dimensional systems due to their lower computational cost. The block methods were …

A new family of L-stable block methods with relative measure of stability

S Qureshi, A Soomro… - … Journal of Applied …, 2022 - inderscienceonline.com
There are several nonlinear and stiff mathematical models in fields of science and
engineering that have always remained a challenge for numerical analysts and applied …

Variable stepsize construction of a two-step optimized hybrid block method with relative stability

D Baleanu, S Qureshi, A Soomro, AA Shaikh - Open Physics, 2022 - degruyter.com
Several numerical techniques for solving initial value problems arise in physical and natural
sciences. In many cases, these problems require numerical treatment to achieve the …

Six points implicit block method with extra derivative for solving first-order initial value problem

BS Dahi, MY Turki - AIP Conference Proceedings, 2024 - pubs.aip.org
In this study, the six-point implicit block method for solving y′=(𝓌, y) has been derived. The
proposed block method was formulated by using Hermite interpolating polynomials. The …

Formulation of Variable Step Block Backward Differentiation Formula for the Computation of Nonlinear Fuzzy Differential Equations

AC Onyekonwu, J Sunday, JN Ndam - International Journal of …, 2024 - ijdm.org.ng
The research paper formulates a variable step block backward differentiation formula
(VSBBDF) for solving nonlinear fuzzy differential equations (FDEs). Developed to address …

A quarter-step computational hybrid block method for first-order modeled differential equations using Laguerre polynomial

J Sunday, D Yusuf, JN Andest - Eng. Math. Lett., 2016 - scik.org
In this paper, we present the derivation and implementation of a new quarter-step
computational hybrid block method for first-order modeled differential equations. The block …

Computational Approach for the Solution of Some Electric Circuit Problems

J Sunday, J Kwanamu, A Bakari - Advances in …, 2016 - research.manuscritpub.com
This paper presents the derivation and implementation of a computational approach for the
solution of some electric circuit problems. The one-step computational hybrid block method …

[PDF][PDF] Stability of Stochastic Volterra Equations with Nonlocal Boundary Conditions

SA Bishop - … on Mathematical Sciences and Optimization ICMSO …, 2020 - scholar.archive.org
Stability of Stochastic Volterra Equations with Nonlocal Boundary Conditions Page 76 Stability
of Stochastic Volterra Equations with Nonlocal Boundary Conditions Sheila A. Bishop 1 …