A quantitative comparison of numerical method for solving stiff ordinary differential equations

QR Code

A quantitative comparison of numerical method for solving stiff ordinary differential equations

We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computatio...

Full description

Bibliographic Details
Published in:	Mathematical Problems in Engineering
Main Author:	Yatim S.A.M.; Ibrahim Z.B.; Othman K.I.; Suleiman M.B.
Format:	Article
Language:	English
Published:	2011
Online Access:	https://www.scopus.com/inward/record.uri?eid=2-s2.0-81555195286&doi=10.1155%2f2011%2f193691&partnerID=40&md5=c9ec8aa50e56815a72eabf619b99880f

Similar Items

Componentwise partitioning using multistep block method for solving ordinary differential equations
by: Othman K.I.; Ibrahim Z.B.; Azeany N.A.; Suleiman M.
Published: (2013)

Variable order block method for solving second order ordinary differential equations
by: Ibrahim Z.B.; Zainuddin N.; Othman K.I.; Suleiman M.; Zawawi I.S.M.
Published: (2019)

Composite backward differentiation formulas for solving stiff ordinary differential equation
by: Junaidi S.A.; Jaafar B.A.; Zawawi I.S.M.
Published: (2024)

Fixed coefficient A(α) stable block backward differentiation formulas for stiff ordinary differential equations
by: Ibrahim Z.B.; Noor N.M.; Othman K.I.
Published: (2019)

Performance of diagonally implicit block backward differentiation formula with off-step points for solving first order stiff ordinary differential equations
by: Ijam H.M.; Ghani N.A.A.; Joseph F.S.; Rasedee A.F.N.
Published: (2024)

Non-convergence partitioning strategy for solving van der Pol's equations
by: Othman K.I.; Suleiman M.; Ibrahim Z.B.
Published: (2018)

Solving ordinary differential equation (ODE) using least square method: Application of steepest descent method
by: Husin S.F.; Mamat M.; Ibrahim M.A.H.; Rivaie M.
Published: (2019)

Stiffly Stable Diagonally Implicit Block Backward Differentiation Formula with Adaptive Step Size Strategy for Stiff Ordinary Differential Equations
by: Ijam, et al.
Published: (2024)

Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations
by: Md Nasrudin F.S.; Phang C.
Published: (2022)

Operational matrix for solving fractional differential equations with Erdelyi-Kober differential operator
by: Nasrudin F.S.M.; Phang C.; Mahadi S.; Arbin N.
Published: (2024)

Implementation of the KSOR Method for Solving One-Dimensional Time-Fractional Parabolic Partial Differential Equations with the Caputo Finite Difference Scheme Title of Manuscript
by: Alibubin M.U.; Sulaiman J.; Muhiddin F.A.; Sunarto A.
Published: (2025)

A comprehensive review of the recent numerical methods for solving FPDEs
by: Alsidrani F.; Klllçman A.; Senu N.
Published: (2024)

A comprehensive review of the recent numerical methods for solving FPDEs
by: Alsidrani, et al.
Published: (2024)

Solution for divergence problem of the Halley method in solving nonlinear equations using homotopy continuation method
by: Tahir H.M.; Nor H.M.; Nasir M.A.S.; Bakar S.A.
Published: (2024)

Statistical verification of numerical weather prediction models for quantitative precipitation forecast
by: Wardah T.; Kamil A.A.; Sahol Hamid A.B.; Maisarah W.W.I.
Published: (2011)

Numerical solution of Painlev'e equation i by Daftardar-Gejji and Jafari method
by: Selamat M.S.; Latif B.; Aziz N.A.; Yahya F.
Published: (2017)

A comprehensive review of the recent numerical methods for solving FPDEs (vol 22,20240036,2024)
by: Alsidrani, et al.
Published: (2024)

FIRST ORDER DIFFERENTIAL EQUATION SUDORDINATION ASSOCIATED WITH CASSINI CURVE
by: Hern A.L.P.; Omar R.; Janteng A.
Published: (2021)

Grünwald Implicit Solution for Solving One-Dimensional Time-Fractional Parabolic Equations Using SOR Iteration
by: Muhiddin F.A.; Sulaiman J.; Sunarto A.
Published: (2019)

Numerical Solution of Van der Pol Equation via Fix and Variable Step Size Methods
by: Mutalib N.J.A.; Rosli N.; Ariffin N.A.N.
Published: (2023)

Numerical analysis on the differential settlement of geosynthetic reinforced soil integrated bridge system
by: Abdullah N.H.H.; Ng K.S.; Jais I.B.M.
Published: (2024)

Mathematical model of COVID-19 transmission using the fractional-order differential equation
by: Hamdan N.'I.; Kechil S.A.
Published: (2024)

Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme
by: Muhiddin F.A.; Sulaiman J.; Sunarto A.
Published: (2020)

Ground response analysis for stiff and soft soil under different earthquake events: A comparison
by: Mazlina M.; Liew M.S.; Adnan A.; Harahap I.S.H.; Hamid N.H.
Published: (2021)

Numerical Solution of Falkner-Skan Equation for a Moving Wedge in Hybrid Nanofluids
by: Yacob N.A.; Hassan F.H.A.; Sahrin M.S.A.; Aziz N.A.A.; Anwar D.A.K.; Dzulkifli N.F.; Dasman A.; Adnan N.I.M.; Ishak A.; Pop I.
Published: (2023)

Performance Comparison Between S-Band And C-Band Radar In Quantitative Precipitation Estimation
by: Ahbar M.I.; Tahir W.; Osman N.S.
Published: (2023)

Adaptive Step Size Stochastic Runge-Kutta Method of Order 1.5(1.0) for Stochastic Differential Equations (SDEs)
by: Mutalib N.J.A.; Rosli N.; Ariffin N.A.N.
Published: (2023)

Forced Response of a High-Static-Low-Dynamic (HSLD) Stiffness Isolator with Active Stiffness Control
by: Rahim M.A.; Yunus M.A.; Rani M.N.A.
Published: (2024)

Ant Lion Optimizer for solving unit commitment problem in smart grid system
by: Sam’on I.N.; Yasin Z.M.; Zakaria Z.
Published: (2017)

Assessing the nonlinear static stiffness of rail pad using finite element method
by: Othman M.I.H.; Wahab A.M.A.; Hadi M.S.; Noor N.M.
Published: (2022)

Quantifying canine tissue stiffness change patterns using shear-wave elastography: implications for time of death estimation
by: Ong, et al.
Published: (2024)

A validated LC method for the quantitation of cefotaxime in ph-sensitive nanoparticles
by: Pereira R.; Julianto T.; Ang P.-K.; Ling S.S.-N.; Barbosa C.M.; Yuen K.-H.; Majeed A.B.A.
Published: (2010)

SPATIAL CLUSTERING PHENOMENA OF COVID-19 CASES IN SELANGOR: A HOTSPOT ANALYSIS AND ORDINARY LEAST SQUARES METHOD
by: Mohammad, et al.
Published: (2023)

Quarry dust fine powder as substitute for ordinary portland cement in concrete mix
by: Kartini K.; Hamidah M.S.; Norhana A.R.; Nur Hanani A.R.
Published: (2014)

A numerical study on gas standpipe separator
by: Tarmizi M.N.M.; Sainan K.I.; Ghani M.A.A.; Jenal N.; Mohamad F.
Published: (2023)

A new gradient method for solving linear regression model
by: Zull N.; Aini N.; Rivaie M.; Mamat M.
Published: (2019)

Semi Analytical Iterative Method for Solving Chemical Reaction System
by: Selamat M.S.; Shahril R.; Mohamed R.; Tokachil M.N.
Published: (2024)

Fuzzy Aras method with objective weight for solving logistic provider problem
by: Mohamad D.; Ahmad S.A.S.; Azhar H.
Published: (2024)

Assessment of ordinary Portland cement impact on the compressibility of laterite soil for road and railway subgrade application
by: Wahab N.A.; Yunus N.Z.M.; Rashid A.S.A.; Roshan M.J.; Ismail M.Z.; Razali R.
Published: (2024)

Comparison study of the MRI shoulder PROPELLER technique with differential image quality by variation of shoulder coils
by: Ab Hamid M.K.M.; Zakaria Mahmod F.; Supar R.; Mohd Z.
Published: (2024)