Search Results - "Initial value problems"

Radial Basis Function Collocation With L‐BFGS Optimization for Higher Order Initial Value Problems.

Authors: Al-Shimari, Nolf Shaker Habib, Mohammad Rezwan

Source: Journal of Applied Mathematics. 6/30/2026, Vol. 2026, p1-13. 13p.

Subjects: Radial basis functions, Initial value problems, Optimization algorithms, Collocation methods, Numerical analysis, Ordinary differential equations, Meshfree methods

Existence and Uniqueness of Solutions to Initial Value Problems of High‐Order Fractional Fuzzy Differential Equations.

Authors: Xi, Yanli Bao, Wenbin Habib, Mohammad Rezwan

Source: Journal of Applied Mathematics. 6/20/2026, Vol. 2026, p1-11. 11p.

Subjects: Fractional differential equations, Initial value problems, Nonlinear systems, Uniqueness (Mathematics), Integral operators, Contraction operators, Caputo fractional derivatives

A 3-STEP HYBRID BLOCK METHOD WITH STABILITY PARAMETERS FOR THE SOLUTION OF INITIAL VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS.

Authors: ADIE, F. A. OGBONNA, N. EMENOGU, N. G.

Source: Global Journal of Pure & Applied Sciences. 2026, Vol. 32 Issue 3, p431-440. 10p.

Enhancing mathematical simulation: a novel integro spline quasi-interpolation for nonlocal dynamical systems.

Authors: Tanha, N. Parsa Moghaddam, B. Ilie, M.

Source: International Journal of Modelling & Simulation. Feb2026, Vol. 46 Issue 1, p74-88. 15p.

Subjects: Initial value problems, Dynamical systems, Interpolation, Numerical calculations, Interpolation algorithms, Riccati equation, Computer simulation

Approximate Solution and Simulation for Fractional Burger Equation with Two Initial Conditions.

Authors: Aldeen Jameel, Huda Emad Shihab, Fatimah Ahmed Al-Azzawi, Saad Naji

Source: Baghdad Science Journal; 2026, Vol. 23 Issue 4, p1241-1254, 14p

An overlapping adaptive step-size multi-derivative hybrid block method for higher order initial value problems.

Authors: Rufai, Uthman O. Sibanda, Precious Goqo, Sicelo P.

Source: Computational Methods for Differential Equations. Apr2026, Vol. 14 Issue 2, p798-827. 30p.

An advanced numerical approach for solving stiff initial value problems using a self-starting two-stage composite block scheme.

Authors: Jaafar, Badrul Amin Zawawi, Iskandar Shah Mohd

Source: Computational Methods for Differential Equations. Apr2026, Vol. 14 Issue 2, p734-753. 20p.

Geometric interpretation of Caputo's fractional derivative and its relation to initial value problems of integer and fractional order.

Authors: Rubio-López, Franco Quispe-Sánchez, Dennis Rubio, Obidio

Source: AIMS Mathematics. 2026, Vol. 11 Issue 4, p1-26. 26p.

Cahn–Hilliard equations with singular potential, reaction term and pure phase initial datum.

Source: European Journal of Applied Mathematics. Apr2026, Vol. 37 Issue 2, p1-26. 26p.

MODELLING OF DYNAMICAL SYSTEMS: HYBRID BLOCK METHODS FOR STIFF INITIAL VALUE PROBLEMS.

Authors: Akai, U. P. Ante, J. E. Asuk, E. E. et al.

Source: Nigerian Journal of Technology; Mar2026, Vol. 45 Issue 1, p216-227, 12p

NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS.

Authors: ADEBIYI, A. F. UDOYE, A. M. AKINOLA, L. S. et al.

Source: TWMS Journal of Applied & Engineering Mathematics; 2026, Vol. 16 Issue 3, p397-408, 12p

Runge–Kutta Schemes for Addressing Left-Endpoint Singularities.

Authors: Alharthi, Nadiyah Hussain T. Alqahtani, Rubayyi Simos, Theodore E. et al.

Source: Symmetry (20738994). Mar2026, Vol. 18 Issue 3, p539. 20p.

Global Low-Energy Weak Solutions of a Fluid–Particle Interaction Model with Vacuum in ℝ 3.

Authors: Huang, Bingyuan Huang, Jinrui Lin, Zonghao et al.

Source: Axioms (2075-1680). Mar2026, Vol. 15 Issue 3, p196. 18p.

On nonnegative classical solutions of coupled Euler–Poisson–Darboux–Tricomi equations with nonlinear sources.

Authors: Georgiev, Svetlin G. Mirgani, Safa M. Zennir, Khaled et al.

Source: AIMS Mathematics. 2026, Vol. 11 Issue 3, p1-18. 18p.

Representation of Solutions to a Two-Sided Matrix Delay Differential Equations.

Authors: Bai, Zhenyu Bai, Chuanzhi

Source: Axioms (2075-1680). Feb2026, Vol. 15 Issue 2, p99. 8p.

Fourth-order predictor-corrector method for initial value ordinary differential equation problems.

Authors: Nwaigwe, Chinedu Atangana, Abdon

Source: Numerical Algorithms. Feb2026, Vol. 101 Issue 2, p1303-1336. 34p.

An Overlapping One‐Step Multiderivative Hybrid Block Method for Solving Second‐Order Initial Value Problems.

Authors: Rufai, Uthman O. Sibanda, Precious Goqo, Sicelo P. et al.

Source: Journal of Applied Mathematics. 1/29/2026, Vol. 2026, p1-18. 18p.

Subjects: Initial value problems, Numerical analysis, Stability (Mechanics), Error analysis in mathematics, Iterative methods (Mathematics)

Milankovitch theory "as an initial value problem": Implications of the long memory of ice advection.

Authors: Verbitsky, Mikhail Y. Volobuev, Dmitry

Source: Earth System Dynamics. 2025, Vol. 16 Issue 6, p1989-2002. 14p.

Subjects: Milankovitch cycles, Initial value problems, Atmospheric models, Earth system science, Pleistocene Epoch, Glacial drift

The Reduction-to-First-Order Method and the Solution of Linear Constant-Coefficient Ordinary Differential Equations of Any Order.

Authors: Salim, Daniel Hoseana, Jonathan

Source: Engineering Letters. Dec2025, Vol. 33 Issue 12, p4777-4786. 10p.

Subjects: Ordinary differential equations, Initial value problems, Differential equations, Signal convolution

Axiomatization of Compact Initial Value Problems: Open Properties.

Authors: Platzer, André Qian, Long

Source: Journal of the ACM. Dec2025, Vol. 72 Issue 6, p1-51. 51p.