Direct mixed multistep block method for solving second-order differential equations

Direct mixed multistep block method for solving second-order differential equations

Show other versions (1)

This paper presents novel mixed multistep block methods for the solution of second-order Ordinary Differential Equations (ODEs) using variable step size approach. The approach employs on the combination of Block Backward Differentiation Formulas (BBDF) and block of Adams type formulas. The theory of...

Full description

Bibliographic Details
Main Authors:	Bardis N. (Author), Ibrahim, Z.B (Author), Majid, Z.A (Author), Othman, K.I (Author), Suleiman, M.B (Author)
Format:	Article
Language:	English
Published:	American Institute of Physics Inc. 2018
Online Access:	View Fulltext in Publisher View in Scopus

Similar Items

Direct Mixed Multistep Block Method for Solving Second-Order Differential Equations
by: Ibrahim, ZB, et al.
Published: (2018)

Variable order block method for solving second order ordinary differential equations
by: Ibrahim, Z.B, et al.
Published: (2019)

Variable Order Block Method for Solving Second Order Ordinary Differential Equations
by: Ibrahim, ZB, et al.
Published: (2019)

Non-convergence partitioning strategy for solving van der Pol's equations
by: Bardis N., et al.
Published: (2018)

Fifth order multistep block method for solving volterra integro-differential equations of second kind
by: Zanariah Abdul Majid, et al.
Published: (2019)

On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs
by: Ibrahim, Z.B, et al.

Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations
by: Ibrahim, Z.B, et al.

Parallel Implementation of Fourth Order Block Backward Differentiation Formulas for Solving System of Stiff Ordinary Differential Equations
by: Ibrahim, ZB, et al.

Componentwise block partitioning: A new strategy to solve stiff ordinary differential equations
by: Ibrahim, Z.B, et al.

Variable order block method for solving second order ordinary differential equations
by: Zarina Bibi Ibrahim, et al.
Published: (2019)

Hybrid multistep block method for solving neutral delay differential equations
by: Nur Inshirah Naqiah Ismail, et al.
Published: (2020)

Hybrid multistep method for solving second order initial value problems
by: Iman H. Ibrahim
Published: (2017-07-01)

A numerical algorithm for solving stiff ordinary differential equations
by: Ibrahim, Z.B, et al.

A Numerical Algorithm for Solving Stiff Ordinary Differential Equations
by: Ibrahim, ZB, et al.

Componentwise Block Partitioning: A New Strategy To Solve Stiff Ordinary Differential Equations
by: Ibrahim, ZB, et al.

Diagonally Implicit Multistep Block Method of Order Four for Solving Fuzzy Differential Equations Using Seikkala Derivatives
by: Syahirbanun Isa, et al.
Published: (2018-02-01)

Solving Volterra Integrodifferential Equations via Diagonally Implicit Multistep Block Method
by: Nur Auni Baharum, et al.
Published: (2018-01-01)

A quantitative comparison of numerical method for solving stiff ordinary differential equations
by: Ibrahim, Z.B, et al.

A Quantitative Comparison of Numerical Method for Solving Stiff Ordinary Differential Equations
by: Ibrahim, ZB, et al.

Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations
by: Dzul-Kifli S.C, et al.
Published: (2017)

Solving Nonlinear System of Third-Order Boundary Value Problems Using Block Method
by: Ismail, FB, et al.
Published: (2015)

Solving Delay Differential Equations of Small and Vanishing Lag Using Multistep Block Method
by: Nurul Huda Abdul Aziz, et al.
Published: (2014-01-01)

Non-convergence Partitioning Strategy for Solving Van der Pol's Equations
by: Ibrahim, ZB, et al.
Published: (2018)

Numerical Solution of Second Order ODE Directly by Two Point Block Backward Differentiation Formula
by: Ibrahim, ZB, et al.
Published: (2015)

Two-point block variable order step size multistep method for solving higher order ordinary differential equations directly
by: Ahmad Fadly Nurullah Rasedee, et al.
Published: (2021-05-01)

Block method with Hermite interpolation for numerical solution of delay differential equations
by: Ishak, F., et al.

Direct Two-Point Block One-Step Method for Solving General Second-Order Ordinary Differential Equations
by: Zanariah Abdul Majid, et al.
Published: (2012-01-01)

Numerical solution of second order ODE directly by two point block backward differentiation formula
by: Abdul-Rahman S., et al.
Published: (2015)

Derivation of diagonally implicit block backward differentiation formulas for solving stiff initial value problems
by: Ibrahim, Z.B, et al.
Published: (2015)

Multistep Methods of the Hybrid Type and Their Application to Solve the Second Kind Volterra Integral Equation
by: Vagif Ibrahimov, et al.
Published: (2021-06-01)

Increasing the order of convergence of multistep methods for solving systems of equations under weak conditions
by: Argyros Ioannis K., et al.
Published: (2019-06-01)

Block Method with Hermite Interpolation for Numerical Solution of Delay Differential Equations
by: Ishak, F, et al.

Solving second order delay differential equations using direct two-point block method
by: Hoo Yann Seong, et al.
Published: (2017-03-01)

Fixed coefficient A(α) stable block backward differentiation formulas for stiff ordinary differential equations
by: Ibrahim, Z.B, et al.
Published: (2019)

Solving nonlinear system of third-order boundary value problems using block method
by: Ismail, F.B, et al.
Published: (2015)

Multistep methods for coupled second order integro-differential equations: stability, convergence and error bounds
by: Lucas Jódar, et al.
Published: (1997-01-01)

Adaptive order of block backward differentiation formulas for stiff ODEs
by: Ibrahim, Z.B, et al.
Published: (2017)

Derivation of Diagonally Implicit Block Backward Differentiation Formulas for Solving Stiff Initial Value Problems
by: Ibrahim, ZB, et al.
Published: (2015)

Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations
by: I. S. M. Zawawi, et al.
Published: (2012-01-01)

Predictor-corrector block iteration method for solving ordinary differential equations
by: Zanariah Abdul Majid, et al.
Published: (2011)

Cannot write session to /tmp/vufind_sessions/sess_hkkqrmqcjma4cfr9m7ritfq5on