Higher-order finite-difference methods for partial differential equations [PDF]
, 1997 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Theory of Hybrid Fractional Differential Equations with Complex Order [PDF]
Sahand Communications in Mathematical Analysis, 2019 We develop the theory of hybrid fractional differential equations with the complex order $thetain mathbb{C}$, $theta=m+ialpha ...
Devaraj Vivek +2 more
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On the Growth of Higher Order Complex Linear Differential Equations Solutions with Entire and Meromorphic Coefficients [PDF]
, 2020 [EN] We revisit the problem of studying the solutions growth order in complex higher order linear differential equations with entire and meromorphic coefficients of p,q-order, proving how it is related to the growth of the coefficient of the unknown ...
Biswas, Nityagopal +7 more
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Robust discovery of partial differential equations in complex situations
Physical Review Research, 2021 Data-driven discovery of partial differential equations (PDEs) has achieved considerable development in recent years. Several aspects of problems have been resolved by sparse regression-based and neural-network-based methods.
Hao Xu, Dongxiao Zhang
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Integration of Differential Equations by C∞-Structures [PDF]
, 2023 Several integrability problems of differential equations are addressed using the concept of a (Formula presented.) -structure, a recent generalization of the notion of solvable structure.
Adrián Ruiz +5 more
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Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations
Mathematics, 2023 Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
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Complex Transforms for Systems of Fractional Differential Equations
Abstract and Applied Analysis, 2012 We provide a complex transform that maps the complex fractional differential equation into a system of fractional differential equations. The homogeneous and nonhomogeneous cases for equivalence equations are discussed and also nonequivalence equations ...
Rabha W. Ibrahim
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Speeded search of the periodic processes of dynamical systems
Trudy Odesskogo Politehničeskogo Universiteta, 2016 Modelling of periodic processes of electromagnetic devices is a complex problem. The task of finding of periodic solutions of nonlinear differential equations is more complex than the Cauchy task of integrating of these equations because it imposes ...
Олександр Леонідович Шпак
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Algebroid Solutions of Second Order Complex Differential Equations
Abstract and Applied Analysis, 2014 Using value distribution theory and maximum modulus principle, the problem of the algebroid solutions of second order algebraic differential equation is investigated. Examples show that our results are sharp.
Lingyun Gao, Yue Wang
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