Search Results - Variational iteration algorithm with collocation

Numerical treatment of linear Volterra integro differential equations using variational iteration algorithm with collocation by Otaide, Ikechukwu Jackson, Oluwayemi, Matthew Olanrewaju

“…To numerically solve the linear Volterra integro-differential equation, this study employs fourth-kind Chebyshev polynomials and the variational iteration algorithm with collocation, which is a…”
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Combination of the variational iteration method and numerical algorithms for nonlinear problems by Wang, Xuechuan, Xu, Qiuyi, Atluri, Satya N

“…A very simple and efficient local variational iteration method (LVIM), or variational iteration method with local property, for solving problems of nonlinear science is proposed in this paper…”
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Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations by Ahmad, Hijaz, Seadawy, Aly R., Khan, Tufail A., Thounthong, Phatiphat

“…In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations…”
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An Adaptive Local Variational Iteration Method for Orbit Propagation in Astrodynamics Problems by Wang, Xuechuan, Elgohary, Tarek A., Zhang, Zhe, Tasif, Tahsinul H., Feng, Haoyang, Atluri, Satya N.

“…In this paper, a highly accurate and efficient Adaptive Local Variational Iteration Method (ALVIM…”
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Bifurcation & chaos in nonlinear structural dynamics: Novel & highly efficient optimal-feedback accelerated Picard iteration algorithms by Wang, Xuechuan, Pei, Weicheng, Atluri, Satya N.

“…•An Optimal Error-Feedback Accelerated Picard Iteration is brought up in this paper.•The OFAPI-2,3 algorithms avoid inverting the tangent stiffness matrix…”
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A new meshless "fragile points method" and a local variational iteration method for general transient heat conduction in anisotropic nonhomogeneous media. Part I: Theory and implementation by Guan, Yue, Grujicic, Rade, Wang, Xuechuan, Dong, Leiting, Atluri, Satya N.

“… The approach consists of a meshless Fragile Points Method (FPM) being utilized for spatial discretization, and a Local Variational Iteration (LVI…”
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A novel class of highly efficient and accurate time-integrators in nonlinear computational mechanics by Wang, Xuechuan, Atluri, Satya N.

“… These three algorithms are based on a local variational iteration method applied over a finite interval of time…”
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A numerical approach with error estimation to solve general integro-differential–difference equations using Dickson polynomials by Kürkçü, Ömür Kıvanç, Aslan, Ersin, Sezer, Mehmet

“…In this paper, a matrix method based on the Dickson polynomials and collocation points is introduced for the numerical solution of linear integro-differential…”
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A Computational Approach to a Model for HIV and the Immune System Interaction by Attaullah, Zeeshan, Tufail Khan, Muhammad, Alyobi, Sultan, Yassen, Mansour F., Prathumwan, Din

“…This study deals with the numerical solution of the human immunodeficiency virus (HIV) infection model, which is a significant problem for global public…”
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Application of He's Variational Iteration Method to Solve Semidifferential Equations of n th Order by Ghorbani, Asghar, Alavi, Abdolsaeed

“…He's variational iteration method is applied to solve n th order semidifferential equations…”
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An approximation algorithm for the solution of the nonlinear Lane–Emden type equations arising in astrophysics using Hermite functions collocation method by Parand, K., Dehghan, Mehdi, Rezaei, A.R., Ghaderi, S.M.

“…In this paper we propose a collocation method for solving some well-known classes of Lane…”
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Local Fractional Laplace Variational Iteration Method for Solving Linear Partial Differential Equations with Local Fractional Derivative by Yang, Ai-Ming, Li, Jie, Srivástava, Hari Mohan, Xie, Gong-Nan, Yang, Xiao-Jun

“…The local fractional Laplace variational iteration method was applied to solve the linear local fractional partial differential equations…”
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A new spline algorithm for solving non-isothermal reaction diffusion model equations in a spherical catalyst and spherical biocatalyst by Alam, Mohammad Prawesh, Begum, Tahera, Khan, Arshad

“…•Discussed numerical results of given models for different dimensionless parameters. In this paper, we discuss a higher order quartic trigonometric B-spline collocation…”
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Hybrid B-Spline Collocation Method for Solving the Generalized Burgers-Fisher and Burgers-Huxley Equations by Wasim, Imtiaz, Amin, Muhammad, Abbas, Muhammad

“…In this study, we introduce a new numerical technique for solving nonlinear generalized Burgers-Fisher and Burgers-Huxley equations using hybrid B-spline collocation method…”
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A Simple Local Variational Iteration Method and Related Algorithm for Nonlinear Science and Engineering by Wang, Xuechuan, Xu, Qiuyi, Atluri, Satya N

“…A very simple and efficient local variational iteration method for solving problems of nonlinear science is proposed in this paper…”
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A fourth-order B-spline collocation method and its error analysis for Bratu-type and Lane-Emden problems by Roul, Pradip, Thula, Kiran

“… In this paper, we develop a high-order numerical method based on quartic B-spline collocation approach for the Bratu-type and Lane-Emden problems…”
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A Bessel collocation method for solving Bratu’s problem by Roul, Pradip, Prasad Goura, V. M. K.

“…In the present paper, we design a Bessel collocation method for solving one-dimensional nonlinear…”
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A shifted Jacobi collocation algorithm for wave type equations with non-local conservation conditions by Doha, Eid H., Bhrawy, Ali H., Abdelkawy, Mohammed A.

“…In this paper, we propose an efficient spectral collocation algorithm to solve numerically wave type equations subject to initial, boundary and non-local conservation conditions…”
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Variational iteration method and projection method solution of the spatially distributed population balance equation by Hasseine, Abdelmalek, Athmani, Khaled, Bart, Hans Joerg

“… Based on the semi-analytical solution method of the population balance, namely, the variational iteration method (VIM…”
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A New Meshless "Fragile Points Method" and A Local Variational Iteration Method for General Transient Heat Conduction in Anisotropic Nonhomogeneous Media by Guan, Yue, Grujicic, Rade, Wang, Xuechuan, Dong, Leiting, Atluri, Satya N

“… The approach consists of a meshless Fragile Points Method (FPM) being utilized for spatial discretization, and a Local Variational Iteration (LVI…”
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